The Chrysler Building casts a shadow approximately 130 feet long on the street when the Sun's rays form an 82.9 angle with the Earth. Approximately how tall is the building? Round you answer to four decimal places.

Question

The Chrysler Building casts a shadow approximately 130 feet long on the street when the Sun's rays form an 82.9 angle with the Earth.  Approximately how tall is the building? Round you answer to four decimal places.

MathMate · Answer

Let h=height of the building in feet and θ=sun's angle with the horizontal = 82.9° then tan(θ)=h/130 Solve for h.