Question

(3/17) A 150 ft antenna is on the top of a tall building. From a point on the ground, the angle of elevation to the top of the antenna is 28.5 degrees, while the angle of elevation to the bottom of the antenna from the same point is 23.5 degrees. How tall is the building?

I drew a picture and I wanted to see if it's right, picture in comments

Answer 1

This post is "almost exactly" the same as yours.
https://answers.yahoo.com/question/index?qid=20111103190958AASfbZO

:)

Answer 2

I still don't get how it's drawn

Answer 3

I drew a diagram for you

Answer 4

Yes I see it, hold on I'm going to draw it on my paper

Answer 5

I redrew what I think is a better drawing:

Answer 6

Would I use law of sine next?

Answer 7

I'm guessing you have to calculate the building height?

Answer 8

Yeah it says to find out how tall the building is

Answer 9

I'm working on that at the moment.

Answer 10

tangent 28.5 degrees = total height / distance
tangent 23.5 degrees = building height / distance

0.54296 = total height / distance
0.43481 = building height / distance

total height = 150 + building height

now to solve those 2 equations

Answer 11

What formula should I use

Answer 12

0.54296 = (150+building height) / distance
0.43481 = building height / distance

0.54296 * distance = 150 + building height
0.43481 * distance = building height

(0.54296 * distance) -150 = building height
0.43481 * distance = building height

(0.54296 * distance) -150 = 0.43481 * distance

0.10815 * distance = 150

distance = 150 /0.10815

distance = 1,386.96 feet

building height = 0.43481 * distance
building height = 0.43481 * 1,386.96

building height = 603.065 feet

Answer 13

The information given requires you to form 2 equations to get the answer.
You then need to know how to solve those equations.
Anyway, the work is all shown.

Answer 14

I don't really understand the work