Question 1099150: Jill is standing at the base of her apartment building. She measures the angle of elevation to the top of a nearby tower to be 40º. Then Jill goes to the roof of her apartment building, directly above her previous position, and measures the angle of elevation to the top of the same tower to be 30°. If the height of the tower is 100 meters, what is the height of Jill's apartment building?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! It helps to draw this.
The distance to the base of the tower is
tan 40=100/x
x=100/tan 40=119.18 m
from the top of the building, we know the adjacent side but not the opposite
tan 30=opposite/119.18
opposite is 119.18*tan30=68.81 m
The opposite side is the height of the tower ABOVE the apartment building. The tower itself is 100 m high, and the remainder of the height, 31.19 m, is the height of the building.
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