An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edge of the building. If the new angle of elevation from the ant to the top of the building is 22°, find the height of the building. Round the answer to the nearest tenth.

A.

100.6 feet
B.

125.4 feet
C.

145.2 feet
D.

189.8 feet

Question

An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edge of the building. If the new angle of elevation from the ant to the top of the building is 22°, find the height of the building. Round the answer to the nearest tenth.

A.
	
100.6 feet
B.
	
125.4 feet
C.
	
145.2 feet
D.
	
189.8 feet

anonymous · Answer

attachment

anonymous · Answer

good so far?
|dw:1400270570040:dw|

anonymous · Answer

yes

anonymous · Answer

@texaschic101

anonymous · Answer

this question looks like we will have to use multiple equations to solve

anonymous · Answer

do you have the choices of answers?

anonymous · Answer

break this into two triangles:
|dw:1400271710751:dw|

apply the pythagorean theorem to it, so
x^2 + h^2 = b^2

then apply the trig function sin()
sin(32) = h/b


now make up two similar equation but for the other right triangle

anonymous · Answer

the answer was 100.6

anonymous · Answer

thats what I got aswell

anonymous · Answer

do you understand how to get that?

(i have to log off really soon fyi)