Question

If the sun is 59 degrees above the horizon, find the length of the shadow cast by a building 52 feet tall, round your answer to the nearest tenth

Answer 1

Answer:44.5

Explanation:

To solve this problem, we can use the tangent function, which relates the angle of elevation to the length of the opposite side (the shadow) and the adjacent side (the height of the building).Let x be the length of the shadow.

Then, we have:tan(59°) = 52/xTo solve for x, we can cross-multiply and simplify:x = 52 / tan(59°)

x ≈ 44.5 feet (rounded to the nearest tenth)Therefore, the length of the shadow cast by the building is approximately 44.5 feet.