A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 30 ∘ ∘ and that the angle of depression to the bottom of the tower is 26 ∘
. How tall is the tower?

Answers

Answer 1

The height of the tower is 452.66 ft

The situation will form 2 right angle triangle. One above the line of sight

and one below the line of sight.

Therefore,

Using trigonometric ratio,

tan ∅ = opposite / adjacent side

tan 30° = h(top of the tower) / 425

h(top of the tower) = tan 30 × 425 = 245.373864406  

tan 26° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 26° = 207.28635014

Therefore,

Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 245.37 + 207.29 = 452.66 ft

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Related Questions

50 points for the answers to this question

Answers

Answer:

linear, non linear, non linear, non linear

Linear
Linear
Nonlinear
Linear

Hope this helps

the sum of three consecutive odd integers is 17 less than four times the smallest integer. find the largest integer.



PLSSS helPPP :')

Answers

Answer:

Find three consecutive integers where their sum is 17 less than four times the smallest integer. So consider any integer -- let's call it n.

7 answers

 

·

 

1 vote:  

Let the smallest of those numbers be [math]n[/math], then the other numbers w

Step-by-step explanation:

1
73
Lech bought 8 t-shirts al
for the same proe. After
using a coupon that took $4
off the pnce, her told
before tax was $36. What
was the cost of each shirts

Answers

Answer:

[tex]t=5[/tex] dollars per t-shirt

Step-by-step explanation:

Read the problem and write your equation while following along with it

We have 8 t-shirts

Lets 8 t-shirts be represented by 8t

So for our equation we will place and [tex]8[/tex]

Our equation: [tex]8t[/tex]

Now it says we have a coupon that subtracts 4 dollars from our total

Our equation: [tex]8t-4[/tex]

The final part to add to our equation says that our total before tax was 36 dollars

So here is our equation: [tex]8t-4=36[/tex]

add [tex]$[/tex][tex]4[/tex] to both sides

[tex]8t=40[/tex]

Divide both sides by [tex]8[/tex]

[tex]t=5[/tex] dollars per t-shirt

-Side note, make sure to spell your question right. It was a tad bit confusing to read at the start.

-Brainliest please :)

What are the example of discount? ​

Answers

Answer:

The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for. An example of something described as discount is a purse sold for 50 percent off its normal price or a store that focuses on selling designer items at below-market prices.

Answer:

the marked price of book is 2000.and vat is 13 percent.selling price is 1500then find discount


Help help help help help

Answers

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

Additional comment

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

please help me w my khan academy

Answers

Answer:

in armed forces is .15%

military dependant is 3%

and civilian is 96%

Step-by-step explanation:

hope this helps! ❄︎

What is rhe relationship between a centimeter and a meter?

Answers

Answer:

A meter is 100x bigger than a centimeter.

Step-by-step explanation:

1 meter = 100 centimeters

Answer:

1metre=100 centimeter

Step-by-step explanation:

that is the relationship between centimeter and metre

essential skills test ,The cost of a haircut is $23. How much do 3 haircuts cost?

Answers

Answer:

$69 is correct

hope this helps

Answer: $69

Step-by-step explanation:

multiply 23 and 3

Select the equation which represents the equation solved for y.

−20x+5y=35


y=4x+7

y=−4x+7

y=−4x−7

y=4x−7

Answers

The first equation because-20x goes to the other side and u divide 5 on both sides and when you simplify it gives you that

Can someone help me with this problem 9(n+3)<10(n+1)

Answers

[tex]9(n+3)~<~10(n+1)\implies 9n+27~<~10n+10 \\\\\\ 27~<~n+10 \implies 17 ~<~ n[/tex]

Solve:
8t + 2 = 8 (4) + 2 = 32 + 2 = ?

Whats the question mark?

Answers

Answer:34

Step-by-step explanation:

32+2=34

Answer:

= 34

Step-by-step explanation:

8t + 2 = (4) + 2 = 32 + 2 = 34

that's my answer , i wish my answer helps you

Can you help me please I will mark the BRAINLIEST ​

Answers

Answer:

c.7203

d.26244

Step-by-step explanation:

please mark me as brainliest

Answer:

[tex]3 \times 7 \times 7 \times 7 \times 7 = 3 \times {7 }^{4} = 7203[/tex]

[tex]2 \times 9 \times 9 \times 2 \times 9 = {2}^{2} \times {9}^{4} = 26244[/tex]

13. A stack of lumber contains the following: three 1" x 6" X 8' pieces of yellow pine. six 2" x 10" x 12' pieces of redwood. six 1" x 8" 10' pieces of fir. How many total board feet of lumber are in this stack? *


180 board ft

162 board ft

192 board ft

172 board ft

Answers

Answer:

Step-by-step explanation:

A board foot is 1 inch thick by 1 ft by 1 ft

(3) 1 x 6  8'  are already 1 inch thick ½ ft wide and 8 ft long

  3 x 1 x (6/12) x 8 = 12 board ft.

(6) 2" x 10" x 12'  are 2 thick x 10/12 ft wide by 12 ft long

  6 x 2 x (10/12) x 12 = 120 board ft.

(6)  1" x 8" x 10'

  6 x 1 x (8/12) x 10 = 40 board ft

12 + 120 + 40 = 172 board ft

- The point A(8, – 7) is reflecteabver the origin and its image is point B. What are the coordinates of point B?​

Answers

Answer: Definitely point A

Step-by-step explanation:

∠a = 85°, what does ∠b equal?

Answers

Answer:

∠b = 95°

Step-by-step explanation:

Assuming these angles are Supplementary, it would look something like this:

                                       /

                          ∠b      /    ∠a

  _______________/__________________

If this is true, and ∠a = 85°, then this means that ∠b must equal 95° because being supplementary angles means all angles add to 180°, so 180 - 85 = 95

Answer:

90° − 85° = 5°

Would you rather have 15/20 of a pizza or 3/4 of a pizza? Explain your answer and how you solved the problem. plz hurry!

Answers

they are both equal and are the same value(75%)

a college student is saving money to buy a laptop. the student has $85 saved and saves $35 each week. The function a(t)=35t + 85 represents the amount of money the college student has saved for the laptop after t weeks. The student receives $50 as a birthday gift .
If the function f(t) = a(t) +50 represents the total amount the student has saved , which best describes the transformation from a(t) to f(t)?

Answers

Answer:

B a vertical translation 50units right

Help help help help help help help help help help help

Answers

Answer:

Step-by-step explanation:

A' = (2 + 3, 1 + 2) = (5, 3)

B' = (-1 + 3, -3 + 2) = (2, -1)

C' = (3 + 3, -3 + 2) = (6, -1)

Choose the correct answer to 97 ÷ 4.
24 R1
24
23 R5
24 R3

Answers

Answer:

24 R1

Step-by-step explanation:

   

24R1 is the answer. H

100 points if you answer - if it's correct ill give brainliest


(01.04 MC)The elevation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D is 1 over 2 of the elevation of city C.


Part A: Write an expression to represent the elevation, in feet, of city D. (5 points)


Part B: Solve the expression and explain why the answer is negative or positive. (5 points)

Answers

Answer & Step-by-step explanation:

A = 60 ft

C = 12

D = 1/2 of C

1/2 of 12 = 6

Part A:

e = 6ft

Part B:

It's positive because it is above sea level

Answer:

Step-by-step explanation:

gg I got the points

Select the correct answer from each drop-down menu.

The graph of g(x) is shown.



The graph of h(x) = g(x + 5) has
and
.

Answers

The function h(x) has a horizontal asymptote at y=5 and the  vertical asymptote is x=-2.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, h(x)=g(x+5.

Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k.

Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k.

Here, the horizontal asymptote is 3, and the vertical asymptote is -2

The graph of h(x) = g(x+5) had a horizontal asymptote at y=5 and the same vertical asymptote as function g(x).

Therefore, the function h(x) has a horizontal asymptote at y=5 and the  vertical asymptote is x=-2.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Write the equation of the line with a slope of 10 that goes through the point (8,-2) in slope intercept and point slope form?

Answers

Answer:

y=10x-2

Step-by-step explanation:

Select all ratios equivalent to 5:3.
13:9
9:15
20:12

Answers

Answer:

20:12

brainlest if it helped

Step-by-step explanation:

Answer:

20:12

Step-by-step explanation:

if you multiply 5:3 by 4, they'll end up with 20:12.

3/15 as an improper fraction

Answers

Answer:

3/15 cannot be simplified as an improper fraction because ethe denominator is greater than the numerator. However, we can simplify 3/15 as a fraction

=> 3/15 = 1/5

Step-by-step explanation:

Hoped this helped.

Answer:3/15 as an improper fraction is 1/5

Step-by-step explanation:1 over 5

ITS 100 POINTS!!!! AND DO IT IN A STEP BY STEP EXPLAINATION.

A proportional relationship between the number of pounds of cabbage (x) and the price in dollars (y) is graphed, and the ordered pair (5, 2) is on the graphed line.

Part A: What is the price of 1 pound of cabbage? Show your work. (8 points)
Part B: What does the ordered pair (10, 4) on the graph represent? Explain in words. (2 points)

Answers

Answer:

part a: If  x  represents the number of pounds of cabbage and  y  represents the price in dollars, then  (5, 2)  means that  5  pounds of cabbage costs  $2.00.  If that is true, then  1  pound of cabbage will cost  $0.40. (divide both values by 5)

The ordered pair  (10, 4)  means that  10  pounds of cabbage cost  $4.00.

explanation: sorry its late but hope it helps

Unit 4: Congruent Triangles
bimo
Homework 5: Proving Triangles Congruent:
SSS & SAS

Answers

Answer:

SSS:

Draw a triangle with sides of 2 cm, 3cm and 4cm and another one of 4cm, 6cm and 8 cm. Both will be SSS congruent.

SAS:

Draw a triangle with sides of 2 cm, 3 cm and another side of your choice. The angle between sides of 2 and 3 cm is 30 degrees. Now draw a triangle with sides of 4 cm, 6cm and another side of your choice (but this one cannot be the double of the 3rd side of the first triangle!) . The angle between the sides of 4 cm and 6 cm should be 60 degrees. Now you have 2 SAS congruent triangles.

help pls home work home qork​

Answers

Answer:

the answer is this sign >. it means the answer on the left is greater than the one on the right

Will be giving brainliest! Have a good day and you’ll get through it !

Answers

Answer:

ok you to !!!!!!!!! good night!!

Step-by-step explanation:

Ryan drove 205 miles in 5 hours. If he drove at a constant rate, how far did he travel in one hour?

Answers

Answer: 41 miles

Step-by-step explanation:

Answer:

41 miles

Step-by-step explanation:

41 miles in a hour rate.

help me with this i dont understand

Answers

Answer:

4

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The scale factor is the ratio of the corresponding sides.

Take the base of both quadrilaterals.

Large quadrilateral:

6 - (-6) = 12

Small quadrilateral:

2 - (-2) = 4

Scale factor:

k = 12/4 = 3
Other Questions
3 feet + 7 inches = ___ inches Valence electrons are electrons in the ? of an atom. how many letters are left if e and t leave the alphabet 30 points!1) What did the Non-Intercourse Act do?A) It prohibited American trade with Britain and France only.B) It repealed the Sedition Act.C) It prohibited American trade with all countries.D) It ended the war with the Barbary Pirates.2) During the Whiskey Rebellion, what did the rebels do to the farmers and distillers who paid the whiskey tax?A) They executed them.B) They arrested and interrogated them.C) They burned down their barns.D) They tarred and feathered them.3) Which Speaker of the House contributed to the Missouri Compromise?A) John Quincy AdamsB) Richard RushC) Henry ClayD) James Monroe Part A What advice would the poet of "If" most likely give about dealing with the outcome of a bad decision? One can pick oneself up and try again. One can find ways to share the blame with others. One can make up for poor choices with apologies. It is preferable to ignore one's mistakes. Question 2 Part B Which evidence from the poem best supports the answer in Part A? "If you can make one heap of all your winnings / And risk it on one turn of pitch-and-toss" "If you can talk with crowds and keep your virtue, / Or walk with kingsnor lose the common touch" "If you can bear to hear the truth youve spoken / Twisted by knaves to make a trap for fools" "Or watch the things you gave your life to broken, / And stoop and build em up with worn-out tools" If angle 1 is 110 what would the other angle measures have to be in order for m || n and q || p (a + 2)/(a ^ 2 + a) - 3/(a - 2) A place where animals and plants are protected is calledA) an ecosystemB) a refugeC) a sanctuaryD) both B and CHello! can someone help me w this pls Which expression uses the associative property to make it easier to evaluate 143 - )? 2 CAN O A. 7(a ) O B. (145) ( O C. 143.5) O D. (14.) SUBMIT .3 times the value of 8/4 of positive a witch equals the sum of whata =34.55 What is the product?Enter your answer as a fraction, in simplified form, in the box.3/8*(-36) fork is a metal or nonmetal ? -1.) -x + 5y = 49X =X - 4y = - 39-= When pyridine is treated with a mixture of nitric and sulfuric acids, the major product is:. Exercise 3: Put the following words in correct order.1. We/ house/ our/ before/ Tet/ should/ clean. 2. hates/ my/ father/ getting up/ on/ first/ day/ the/ the/ year/ of/ early.3. gathering/ family/ Tet/ is/ for/ time/4. bad/ luck/ people/ eating/ people/ think/ eating/ shrimps / bring.5. This/ family/,/ my/ make/ will/ banh chung/year. What is Part 1 and Part 2? I think I have these correct. QuestionHow to solve this question? Tell whether the figure is a polygon. If it is a polygon, name it by the number of its sides.O polygon, hexagonO polygon, dodecagonpolygon, decagonO not a polygon 21 What important information does Odysseus learn in the Land of the Dead (Book 11)? List two things he learns. 3 I Due in an hour help mePlease I have to pass