the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​

Answers

Answer 1

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high


Related Questions

Write an expression for 213 increased by d.

Answers

Write an expression for 213 increased by d: [tex]213+d=x[/tex]

Points (-3, 3) and (2, -9) are located on the coordinate plane. What is the distance between these two points?

Answers

Answer:

13

Step-by-step explanation:

pythagorean theorem, draw a vertical and horizontal line 5^2+12^2= 13^3

Copy the diagram. Then draw Rx=-1 (ABC). Lable the vertices of the image by using prime notation.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Reflection over x = -1 performs the transformation ...

  (x, y) ⇒ (-2-x, y)

50 PTS!!!!Which statements must be true to model a data set using a normal distribution?

The population mean must be greater than the sample mean.
The sample size, n, must be at least 30.
The standard deviation of the population must be less than 30.
The sample must be randomly selected.
The sample mean must equal the population mean.
-There are multiple answers

Answers

Answer:

Normal distributions are symmetric around their mean. The mean, median, and mode of a normal distribution are equal. The area under the normal curve is equal to 1.0. Normal distributions are denser in the center and less dense in the tails.

Step-by-step explanation:

Extra Answered question:

How do you determine if a distribution is normal?

Answer: In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean. It must also adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

I hope this is what your looking for :)

Answer:

I don't the right answers but I know these answers are incorrect:

The sample mean must  equal the population mean.

The standard deviation of the population must be less than 30.

Step-by-step explanation:

3. A big league pitching coach tries to limit his pitchers to 110 pitches per game. If the pitcher has
already thrown 52 pitches, write and solve an inequality to find how many more pitches he can
throw before reaching the limit. *
Type your inequality AND your answer as a sentence.

Answers

110 minus 52 is 58 so the answer would be 58 more pitches

Please help! For math.

Answers

Answer:

Soln:

x=64(vertically opposite angle)

x=64

Now,

y=18(vertically opposite angle)

y=18

Again,

y+z+x=180(being straight angle)

or,18+z+64=180

or,82+z=180

or,z=180-82

orz=98

Hence the value of x=64, y=18and z=98.

Find the volume of the composite solid.

Answers

Here's the solution,

the volume of the given figure is :

=》

[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]

volume of pyramid :

=》

[tex] \dfrac{l \times b \times h}{3} [/tex]

=》

[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]

=》

[tex] \dfrac{120}{3} [/tex]

=》

[tex]40[/tex]

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

[tex]l \times b \times h[/tex]

=》

[tex]4 \times 5 \times 2[/tex]

=》

[tex]40[/tex]

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

The volume of the composite solid will be 80 cubic cm.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the Pyramid will be given as,

V = (1/3) × Base area × height

Then the volume of the geometry will be

V = L x W x H + (1/3) x Base area x height

V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6

V = 40 + 40

V = 80 cubic cm

Thus, the volume of the composite solid will be 80 cubic cm.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

please help me with maths !!!

A fish was at the river-bed at a certain time. After 5 minutes, the water level of the river rose
up 2.4 cm and the water level of the river rose up again 3½cm after 4 minutes. The moment, the fish was at 14.6 cm from the river-bed and 162 cm below water level of the river.

Calculate the original height, in cm, of the water level of the river.​

Answers

Answer:

170.7 cm

Step-by-step explanation:

Let the original water level is x.

Use below equation to find its value:

x + 2.4 + 3 1/2 = 162 + 14.6x + 2.4 + 3.5 = 176.6x + 5.9 = 176.6x = 176.6 - 5.9x = 170.7 cm

Exchange the digits in lakhs and tens places of the number 6,10,932 and find the sum of the new number and the original number.

Answers

Answer: [tex]9,21,894[/tex]

Step-by-step explanation:

Given

The given number is 6,10,932

Value at lakhs place is 6

value at tens place is 3

Exchange them to get a new number i.e. 3,10,962

Now, the sum of the original and new number is

[tex]6,10,932+3,10,962=9,21,894[/tex]

8. A going out of business sale has the entire store marked 80% off. Which of the following is equivalent to
80%?
F.
3
4
G. 0.08
4
H
J. 8.0
ANSWER IF YOU CAN AND AS FAST AS YOU CAN NO LINKS!!!!!!! PLEASE HELP

Answers

Answer:

G. 0.08

Step-by-step explanation:

It is actually 0.8 but putting a zero before 8 is fine.

0.0008=0.8

0.8000=X

more of my brothers wwork for yalll have fun and tysm!

Answers

Answer: 3/4 x 48
3 x 12
= 36

Got 12 by reducing the numbers with the Greatest Common Factor (GCF) 4

Answer:

i cant wait to start are life together, with are son. im so thankful for u becca. ily

Step-by-step explanation:

Can someone help me

Answers

the answer is 9 because

3x9=27

and 27-18=9

mark brainliest plz

the answer is 9 yaya

Help!!!!!!! I will give the brainiest if right!

Answers

Answer:

60%

Step-by-step explanation:

First we must find how many chocolate their was. 60 - 24 = 36

36 is 60% percent of 60.

PLZ HELP I DONT UNDERSYAND

cait has a 300-centimeter ribbon that cut into smaller pieces for decorations select all the ribbon lengths that could be cut from the original ribbon.

A. 1.8 meters and 110 centimeters
B. 200 centimeters and 2 meters
C. 3 meters anfd115 centimeters
D. 17 centimeters and 2.9 meters
E. 0.63 meters and 240 centimeters
F. 192 centimeters anf 0.19 meters

(suggested by my sister plz help her ty)​

Answers

Answer:

The answer is letter A and letter F.

Step-by-step explanation:

The question is asking if any of these choices are less than 300 centimeters. To find this out, first, you have to convert the meters to centimeters, to make it easier. (1 centimeter is equal to 0.01 meters) Multiply the meters by 100. For example 1.8m x 100 = 180cm. Do the rest for the other meters and then add them to the centimeters. Example: 180cm + 110cm = 290cm, which is less than 300cm.

Sammie is buying an airline ticket. The ticket costs $125. She earns $12 an hour and has already saved $40. Write an inequality to find out how many hours (h) Sammie needs to work in order to buy her ticket. Do not solve.

Answers

Answer:

125=12x+40

Step-by-step explanation:

Let the number of hours be x

And the total amount be =$125

We already have $40

Hence the expression is

125=12x+40

If we solve for x, the answer gotten is the number of hours

(416-645)x(4965^3)+50222+

Answers

Answer:

It's

−28028073006403

Hope it helps!

Answer: − 2 8 0 2 8 0 7 3 0 0 6 4 0 3

Step-by-step explanation: i assume ur last + was supposed to be = ?

Write the following numbers in increasing order (list the smallest as #1 and the largest as #5)

7, √24, √36, 4.7, √18

dont put answer in file i have to download pls lol

Answers

Answer:

Square root of 18

4.7

square root of 24

square root of 36

7

Step-by-step explanation:

After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.



Using the box plot, determine the best measures of the data.

The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.

The number that best summarizes the data is (blank)
years of service.

The number that best describes how the data varies is (blank)
years of service.

Answers

Step-by-step explanation:

The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank

Please send the box plot, I can solve it then but there is not enough info right here. Sorry!

What is the perimeter of a square with a length of 13cm and a base of 13cm???

Please Help I Need This By Tomorrow!

Answers

13+13+13+13=52
Answer=52cm^2

Deborah had 3 1/4 yards of ribbon she used 3/8 of a yard for a project how much ribbon does she have left

Answers

She would have 2.875 yards left
Deborah has 2 7/8 yards of ribbon left

“Type your answer in the box below without units” HELPPPPP

Answers

Answer

each loaf cost $2 all you had to do was divided 24 and 12 and you get $2

Step-by-step explanation:

1. The French Club will wash cars for $5 each to raise money for a trip to Quebec. Their profit is determined by taking this revenue and subtracting $15 for the supplies they purchased, and is modeled by the function p = 5C - 15, where c is the number of cars washed. If the French club can wash up to 5 cars in an hour, what is the range of the function for this situation?
A {0,1,2,3,4,5}
B 0 < c < 5
C -15 < p < 10
D { -15,-10,-5,0,5,10}​

Answers

Answer:

p=5c-15=p=5×5-15 =-15<p>10

Suppose a circle has a diameter of 20 inches. What is its radius?
A)400 in
B)40 in
C)20 in
D)10 in

Answers

The answer would be D. 10 in.

Will mark brainliest

Answers

Answer: A) multiply the input by 6.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

12÷2=6

36÷6=6

48÷8=6

54÷9=6

72÷12=6

so that means you have to multiply the input by 6.

SOMEONE PLS HELP ME , WILL MARK BRAINLIEST

Answers

Answer: 83.9 ft

Step-by-step explanation:

Tan40^degrees/1=x/100

x=100tan40^degrees

x=83.9 ft

Answer:

84 units

Step-by-step explanation:

NO LINKS!! But someone pls help me I barely have points to keep reposting plsss The center of gravity of a triangular solid with uniform thickness and density
is at the intersection of the
of the triangle

Answers

Answer: Centroid

Step-by-step explanation: The center of gravity of a triangular solid with uniform thickness and density is the centroid which is the point at which one can balance the triangle. It is the center of mass of an object with uniform density.

A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?

Answers

Answer:

25%

Step-by-step explanation:

So first, 5 answers is 50% of 10 questions

Then, if these problems have only 2 choices then 50%/2=25%

A baby's crib has an area of 690:square inches and a perimeter of 106 inches.What are the dimensions of the crib

Answers

Answer:

The crib is 30 inches wide and 23 inches long.

Step-by-step explanation:

Assuming that the crib is rectangular, then the crib has a length L and a width W.

And remember that for a rectangle of width W and length L, the perimeter is:

P = 2*L + 2*W = 2*(L + W)

And the area is:

A = L*W

In this case, the perimeter is 106 in, then:

P = 106in = 2*(L + W)

And we also know that the area is 690 in^2

Then:

A = 690in^2 = L*W

Then we have a system of equations:

106in = 2*(L + W)

690in^2 = L*W

To solve this, first, we need to isolate one of the variables in one of the equations.

Let's isolate L in the first one:

106in/2 = L + W

53 in = L + W

53in - W = L

Now we can replace this in the other equation:

690in^2 = L*W = (53in - W)*W = 53in*W - W^2

690in^2 =  53in*W - W^2

Now we need to solve this for W.

This is a quadratic equation:

W^2 - 53in*W + 690 in^2 = 0

The solutions of this equation are given by Bhaskara's formula:

[tex]W = \frac{-(-53in)\pm \sqrt{(-53in)^2 - 4*1*(690in^2)} }{2} = \frac{57in \pm 7in}{2}[/tex]

Then the two possible solutions of W are:

W = (53in + 7in)/2 = 30in

W = (53in - 7in)/2 = 23in

We can choose any one of these, so let's choose W = 30in

If we replace this in the equation: "53in - W = L"

We can find the value of L:

53in - 30in = 23in = L

Then we have:

W = 30in

L = 23in

LOL what does frickingtriangle + square =6 equal

Answers

Answer:

3+3=6

Hope dhhhdjsjsbsjdbshs

Check
Consider the expression.
1. Express each exponent in expanded form:
6.6.6.6.6.6.6
6.6.6.6
6.6.6.6.6.6.6
6.6.6.6
2. Divide common factors:
What is the exponent of the simplified power?
Done

Answers

Answer:

[tex](a)\ \frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex] --- expanded form

[tex](b)\ \frac{6^7}{6^4} = 6*6*6[/tex] --- Divide common factor

(c) The exponent of the simplified power is 3

Step-by-step explanation:

The original question is:

[tex]\frac{6^7}{6^4}[/tex]

Required

- Express the exponents in expanded form

- Divide common factors

We have:

[tex]\frac{6^7}{6^4}[/tex]

In indices:

[tex]x^2 = x * x[/tex]

So, the above expression becomes:

[tex]\frac{6^7}{6^4} = \frac{6*6*6*6*6*6*6}{6*6*6*6}[/tex]

Divide the common factors, to give:

[tex]\frac{6^7}{6^4} = 6*6*6[/tex]

Express as an exponent

In indices;

[tex]x * x * x = x^3[/tex]

So, we have:

[tex]\frac{6^7}{6^4} = 6^3[/tex]

The simplified power is [tex]6^3[/tex] and 3 is the exponent

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