A person 5 ft. tall is standing near a building 30 ft. high. If the length of the person’s shadow is 3 ft., what is the length of the shadow of the building?(1 point)

Question

ft.

Answer 1

Using similar triangles, we can set up the proportion:

(person's height) / (person's shadow) = (building's height) / (building's shadow)

Plugging in the given values:

5 ft / 3 ft = 30 ft / (building's shadow)

Cross multiplying:

5 ft * (building's shadow) = 3 ft * 30 ft

Rearranging for the building's shadow:

(building's shadow) = (3 ft * 30 ft) / 5 ft

Simplifying:

(building's shadow) = 90 ft / 5 ft

Therefore, the length of the shadow of the building is 18 ft.