Question

If the angle that the sun makes with the side of a building is 75°, and the distance from the top of the building to the tip of its shadow is 25 feet, what is the length of its shadow? 144.89 feet 12.84 feet 48.3 feet 24.15 feet

Answer 1

24.15 feet

Explanation:

The shadow is opposite the specified angle, and the distance from its tip to the building edge is the hypotenuse of the relevant right triangle. Then the applicable relation is ...

Sin = Opposite/Hypotenuse

(25 ft)sin(75°) = Opposite = shadow length

24.15 ft = shadow length