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)
ft.
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.