As the students were approaching the park, they noticed a huge tower that was just
being completed. Lucas and Jacob were part of the group responsible for looking at
advertising. They couldn’t help but to think, one of the main attractions of the park
would be the ride involving this tower. It was a bright, sunny day. As they got off
the bus, they collected the mathematical materials provided by their teacher. These
materials included: pencil, paper, eraser, calculator, measuring tape, a
clinometer (a tool used to measure vertical angles). They walked through the
park until they reached the shadow of the tower. They looked up and couldn’t
believe how high it was

Q: If they are going to advertise, the height of the tower in a brochure that is
being created, they want to be sure of their answer. Describe how they
could use the materials they have and trigonometry to determine the
height of the tower. The explanations should include a detailed diagram,
clear step by step instructions making use of terminology appropriately
and even examples showing the calculations to be used to determine
the height.

Answers

Answer 1

The students could use what they know of triangle rectangles, in the image below you can see the diagram that the students could use to estimate the height of the tower.

First, the students could use the measuring tape to find the distance between the base of the tower and them, this distance is represented with the variable S in the image below.

Now, using the clinometer, they could find the elevation angle between their viewpoint and the tip of the tower. This would be the angle θ in the image (notice that they should do this from the ground).

So at this point, we know one angle and the adjacent cathetus to that angle.

And we want to find the height of the tower, which is the opposite cathetus to the known angle.

Then we can remember the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing these by the things we know:

tan(θ) = H/S

tan(θ)*S = H

Then, by measuring θ and S, we can find the height.

If you want to read more about triangle rectangles, you can see:

https://brainly.com/question/16893462

As The Students Were Approaching The Park, They Noticed A Huge Tower That Was Justbeing Completed. Lucas

Related Questions

x + x(x + y) + y; use x = 4, and y = 1

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{x + x(x + y) + y}[/tex]

[tex]\huge\text{= 4 + 4(4 + 1) + 1}[/tex]

[tex]\huge\text{= 4 + 4(5) + 1}[/tex]

[tex]\huge\text{= 4 + 20 + 1}[/tex]

[tex]\huge\text{= 24 + 1}[/tex]

[tex]\huge\text{= 25}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Hi,

we need to substitute 4 and 1 in the equation, so for every y, we replace it with a 1 and every X with 4 as X= 4, Y = 1

equation: X + X (X + Y) + Y

equation after substituting the numbers: 1 + 1 (1 + 4) + 1

Bidmas rules apply.

expand the bracket first. 1 (1 + 4)=

1 X 1= 1

1 X 4= 4

1 + 4 = 5

then the equation becomes: 1 + 5 + 1= 7

your answer is 7 if you want to evaluate it.

your answer is 1 + 1 (1 + 4) + 1 if you need the equation.

, hope that helps :)

A rectangular swimming pool has length 15w - 1 feet and width 9w + 2 feet. Find the perimeter of the pool.​

Answers

Answer:

48w +2

Step-by-step explanation:

Perimeter of a rectangle=2( length+width)

=2(15w-1+9w+2)

=2(24w+1)

=48w+2

WHATS YOUR TIKTOKKK OMG I WANT MUTUALS

Answers

seth2cold let’s be moots

(15×4)6÷6[{32÷4(7x2-15+5)}+3]​

Answers

(15×4)6÷6[{32÷4(7x2-15+5)}+3]

= -2

[ use BODMAS rule]

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x=3

Step-by-step explanation:

I suggest getting this app called photo math, it will help you soo much.

Answer:

x = 3

Step-by-step explanation:

4 (x - 1 ) + 4x -1 = 19

solve the brackets first

4x - 4 + 4x -1 = 19

4x + 4x -4 -1 = 19

8x -5 = 19

8x = 19+5

8x = 24

x = 24/8

x = 3

which of the following are remote interior angles of 5 ?

Answers

Answer:

The answer is B and C.

Answer: B AND C

Step-by-step explanation:

Remote interior angles are angles that are opposite from the exterior angles (5 in this case).

Express -5/8 as a rational number with -24 as the denominator​

Answers

Answer:

Step-by-step explanation:

Hello!

-5/8 = (-5*-3)/ (8*-3) = 15/-24

Rewrite 4/6 : 1/3 as a unit rate.

A. 12:6
B. 12:1
C. 2:1
D. 2/9

Answers

Answer:

C

Step-by-step explanation:

(4/6) : (1/3), multiply by 3 both sides

(4/2) : 1 = 2:1

Answer:

A. 12:6

Step-by-step explA. 2

SE MULTIPLICA 4X3 Y 6X1

Please help solve this. 10points worth it

Answers

Answer:

The function is a growth function so I guess A, B and D

suggest a growth curve

Step-by-step explanation:

100 divided by 3.2 Thank u

Answers

Answer:

31.25

Step-by-step explanation:

125/4

= 31.25

Solve by factoring
6x^2 +13x -28 =0

Answers

Answer:

x=-7/2, x=4/3

Step-by-step explanation:

[tex]6x^2+13x-28=0[/tex]

Multiply 6 and -28 to get -168

Find 2 numbers that multiply to 168 but add to 13

They are 21 & -8

Rewrite the equation into:

[tex]6x^2+21x-8x-28=0[/tex]

Factor

[tex]3x(2x+7)-4(2x+7)=0[/tex]

(3x-4)(2x+7)=0

3x=4

x=4/3

2x=-7

x=-7/2

convert 72° into grades.

Answers

Answer:

[tex]72in \: grades = > 1degree = \frac{10}{9} \times 72 \\ 72degree = \frac{10}{9} \times 72grades \\ 7degre = 80grades \\ thank \: you[/tex]

Find the length of the third side. If necessary, round to the nearest tenth.
20
28
Answer:
Submit Answer
attempt 1 out of 2
PLS HELP ASAP

Answers

Answer:

b = 19.6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

20^2+ b^2 = 28^2  

400 + b^2 = 784

b^2 = 784-400

b^2 =384

Taking the square root of each side

sqrt( b^2) = sqrt(384)

b =19.59591794

To the nearest tenth

b = 19.6

Answer:

19.6

Step-by-step explanation:

It is a right triangle so use the pythagorean theorem; a^2 + b^2 = c^2

a=20

b=?

c=28 - c is the hypotenuse because it is across from the right angle

20^2 + b^2 = 28^2

400+ b^2 =784

b^2=384

b= 19.595917... or 19.6 (rounded to nearest tenth)

please help me!!

how many times does 10% go into 34,950,101?

Answers

Answer:

10

Step-by-step explanation:

If you multiply 10% of 34,950,101 by 10, you will get the value of 34,950,101.

34950101÷10%
=34950101÷10/100
=34950101×100/10
=34950101×10
=349501010

Hope my answer helped u :)

Is 100.1 rational or irrational

Answers

Answer:

It's rational number

Step-by-step explanation:

if a number is non stop it is irrational

it a number stops as it stopped here at 1 so it's a rational number

Answer:

Rational

Step-by-step explanation:

It's a decimal with no recurring digits:)

You can
Figure A to map it onto Figure Din a single transformation."

1.answers
2.rotate
3.reflect
4.translate
5.dilate

Answers

Answer: a

Step-by-step explanation:

50. The probability of passing an examination is 0.77. What is the probability of failing the examination? A. 0.33 0.77 B. 0.23 D. 0.72​

Answers

The answer is 0.33 cos you’d subtract 0.77 from 1

Answer:

0.23

Step-by-step explanation:

If the probability of passing the examination is 0.77

Then the probability of failing the examination is 1 - 0.77 = 0.23

Select the correct answer from each drop-down menu. The asymptote of the function f(x) = 3x + 1 – 2 is ____ Its y-intercept is ____

Answers

Answer:

-2

(0, 1)

Step-by-step explanation:

Giveb the function :

F(x) = 3^x + 1 – 2

To obtain the asymptote, take the limit of f(x) as x as tends to ∞

3^(∞+1) - 2 = 0 - 2

Hence,

y = 0 - 2.

y = - 2

The y intercept, this is the value of y when x = 0

Hence, put x = 0

F(0) = 3^(0 + 1) – 2

f(0) = 3^1 - 2

f(0) = 3 - 2

f(0) = 1

Y - intercept = (0, 1)

The domain of a function can be represented by which one of the following
options?
A. a set of F(x) values
B. a set of both input and output values
C. a set of input values
D. a set of output values

Answers

Answer:  C. a set of input values

The domain is the set of allowed x values, aka input values.

With fairly many domain problems, one thing to look out for are things like potential division by zero issues. For example, if you had the function f(x) = 2/(x-3), then we want to avoid the denominator x-3 from being zero. Because x = 3 makes x-3 equal to zero, this means we must kick x = 3 out of the domain; however, any other real number will work. This example function therefore has the domain of any real number but 3.

Square roots are another thing that often comes up with domain problems. One example could be g(x) = sqrt(x+5). We'd want the x+5 to never be negative. Solving [tex]x+5 \ge 0[/tex] leads to [tex]x \ge -5[/tex] to tell us what set of input x values we can plug in: namely anything -5 or larger.

Other types of domain problems can occur, but those two types are most common in my experience.

Combine and simplify these radicals. 160 40

I AM TIMED!!!

Answers

Answer:

200

hope it help

Answer:

160

Step-by-step explanation:

got it right

One of the legs of a right triangle measures 9 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

Approximately 9.2

Step-by-step explanation:

For right triangle, if you know 2 sides, you can find the third using pythagorean theorem, a^2 + b^2 = c^2. 'a' and 'b' are the lengths of the legs, while 'c' is the hypotenuse. You can plug in what you know into this formula:

9^2 + 2^2 = c^2

81+4 = c^2

c = √85, or approximately 9.2

In figura de mai jos, coardele AB si CD sunt perpendiculare şi congruente. Punctele E,O,F sunt coliniare. Calculați masura unghiului AEF.​

Answers

Answer:

please translate to English for fast response

Answer:

∡AEF=45°

Step-by-step explanation:

AB=CD ⇒

arcele AB=AC (la coarde egale corespund arce egale)⇒

arc(AB)+arc(BC) = arc(BC)+arc(BD)  (descompunerea arcelor AB si AC)⇒

arc(AC)=arc(BD) ⇒

∡BAD≡∡CDA (la arce egale avem unghiuri cu varful pe cerc egale) ⇒

ΔEAD e isoscel (unghiurile de la baza AD sunt congruente) ⇒

[EA]≡[ED], dar si [OA]≡[OD]   (OA si OD raze ale cercului)⇒

EO e mediatoarea  [AD] (E si O formeaza dreapta EO), dar ΔEAD e isoscel⇒

[EO este si bisectoarea ∡AED (intr-un triunghi isoscel mediatoarea bazei se suprapune cu bisectoarea unghiului opus bazei), dar ∡AED=90° ⇒

∡AEF=45°

Can someone help me please will Mark brainliest

Answers

Answer:

The answer that I got is C I hope I'm right

Answer:

An integer

OAmalOHopeO

Which equation represents a proportional relationship between
x and y?
A: k/x = y
B: k - x = y
C: k + x = y
D: k * x = y

Answers

Answer:

D: k*x=y

Step-by-step explanation:

a proportional relationship is basically a linear equation (y=mx+b)

I NEED HELP QUICK PLEASE! D:
Jamie is taking the tests needed to join the math group. His scores were 89, 92, 94. What's the lowest score he can get on the fourth test and still have a 90 average?

Answers

It would have to be 85

Answer:

85

Step-by-step explanation:

(89+92+94+ x)/4>90

(275+x)/4>90

275+x>90

x> 85

16 + 28 = ___ ´ (4 + 7).

Answers

Answer:

Solution given:

16+28=44

(4+7)=11

Answer:

The solution is 4

Step-by-step explanation:

Step 1:  Find the correct answer

I'm not really sure what you are asking but I will give it a shot.

16 + 28 = ___ (4 + 7)

44 = ___ (11)

44 / 11 = ___ (11) / 11

4 = ___

Answer:  The solution is 4


What is the equation of the line?

Answers

X=3 is the equation of the line

Find the value of x.
Round to the nearest tenth.
Х
120°
10
x = [?]

Answers

Answer:

X is 11.8

Step-by-step explanation:

You already have the formula so just put in the values and rearrange to get the answer. c is what you are looking for so that is x. a can be 3 and b is 10. CosC is Cos(120) the rest work it out on calculator.

HURRY PLEASEEEEE!!!!!!

Juan scored 24 points in the first half of the basketball game, and he scored p points in the second half of the game. Write this in variable/constant form.

Answers

Answer:

24+p=t

Step-by-step explanation:

If he scored 24 points in the first half, and p in the next half, he scored a total of t points.

Can someone give me the answer asap thanks.

Answers

D. 2x⁶y²

This is the equivalent expression.

It’s d !!!!!!! !!!!! !!!! Ya hurddd
Other Questions
The feeling of the nation must be quickened; the conscience of the nation must be roused; the propriety of the nation must be startled; the hypocrisy of the nation must be exposed; and its crimes against God and man must be proclaimed and denounced. How does the repetition of the word "must" affect the tone of the piece? The repetition shows that the speaker is concerned about something. The repetition draws attention to the speakers anger. The repetition suggests that the speaker is intimidating and demanding. The repetition intensifies the speakers sense of urgency. Changes that Affect the body may take place where For this exponential function,what is the output value (y),when the input value (x) is 3?y = 10.5x.(3, [?]) How did the Great Society differ from the New Frontier?A. The New Frontier focused more on civil rights legislation, while the Great Society focused on expanding welfare.B. The Great Society focused on foreign policy, while the New Frontier focused on domestic policy.C. The Great Society focused on civil rights and fighting poverty, while the New Frontier focused on technology and space exploration.D. None of these choices are correct. (06.01)A scatter plot is shown:A scatter plot is shown. Data points are located at 1 and 8, 2 and 7.8, 3 and 7.4, 4 and 6.5, 5 and 5.4, 6 and 4.5, 7 and 3.1, 8 and 2, 9 and 1.ASAP:What type of association does the graph show between x and y? Linear positive association Nonlinear positive association Linear negative association Nonlinear negative association Elodea is a plant that lives in water. Like all plants, elodea can make its own food throughprocess called photosynthesis. Oxygen gas is also produced during photosynthesis.Photosynthesis can only happen in the presence of light. To measure the rate ofphotosynthesis, a piece of elodea can be placed in an inverted test tube filled with asodium bicarbonate solution. Oxygen gas produced by photosynthesis will collect at thetop of the test tube.A student has designed an experiment using elodea plants. The experimental setup isshown in Figure 1-4Which of the setups would serve as the control of the experiment?BucketLampFlashlight HighNaturalElodeaSodiumbicarbonatesolution Read the excerpt from Take the Tortillas Out of Your Poetry.For me, reading has always been a path toward liberation and fulfillment. To learn to read is to start down the road of liberation, a road which should be accessible to everyone. No one has the right to keep you from reading, and yet that is what is happening in many areas in this country today. There are those who think they know best what we should read. These censors are at work in all areas of our daily lives.To convince readers that censors have unjust motives, the author uses rhetoric to appeal mostly to .a. logic b. charactersc. ethics d. emotion 9. Find the remainder when the polynomial: p(x) = x + 2x- 3x + x - 1 is divided by (x - 2) pls it's urgent Solve for xAnswer choices:45832 22. Which of the following does not demonstrate evidence regarding the ability to consummate a refinancing of short-term debt? A) Management indicated that they are going to refinance the obligation. B) Actually refinance the obligation. C) Have capacity under existing financing agreements that can be used to refinance the obligation. D) Enter into a financing agreement that clearly permits the entity to refinance the obligation. 3^(2)+4(2)4-9(5+1)+35^(2)+3^(2)-8(3+2)^(2)+4(2+3)8^(2)-9(2)+32(5)^(2)4^(2)+6(2+8)4+5(3)+2(7)-68+3(6)-3^(2)2+6-5+4(6) The base of an aluminum block, which is fixed in place, measures 90 cm by 90 cm, and the height of the block is 60 cm. A force, applied to the upper face and parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is . What is the displacement of the upper face in the direction of the applied force Please help l! I cant seem to get it What's 672 divided by 32 Fill in the blanks: ______ is in the direction of or nearer to the source of the river. 10. "Jimmie and Sarah"What is the correct possessive form of the bold words if they are showing individual ownership?Jimmie and Sarah birthdays are two days apart.Jimmie and SarahsJimmies and SarahsJimmies and SarahsJimmie and Sarahs THIS IS YOUR SIGN DONT UNALIVE YOURSELF TODAY OR NIGHT this help me please. Which level of organization is formed when a group of organs work together to perform complex functions? what is the absolute value of |9|?