SOLUTION: The angle of depression of a car on the ground from the top of a building is 72 degrees. If the car is 200 feet away from the building, find the height of the building.

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Question 1091563: The angle of depression of a car on the ground from the top of a building is 72 degrees. If the car is 200 feet away from the building, find the height of the building.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
r, distance from car to top of building
y, height of building


cos%2872%29=200%2Fr
r%2F200=1%2Fcos%2872%29

r=200%2Fcos%2872%29
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y%2Fr=sin%2872%29
y=r%2Asin%2872%29
y=200%2Asin%2872%29%2Fcos%2872%29


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200%2A0.95106%2F0.30902
y=616