Question

When the sun is 62° above the horizon, a building casts a shadow 18 m long. How tall is the building?

Answer 1

9514 1404 393

Answer:

33.9 m

Explanation:

The relationship between the building height (h), the shadow length (s), and the angle of elevation of the sun (α) is ...

tan(α) = h/s

h = s·tan(α) = (18 m)tan(62°) ≈ 33.853 m

The building is about 33.9 meters tall.