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.
To solve this problem, we can use similar triangles. Since the person's height and the height of the building form a pair of corresponding sides of similar triangles, we can set up a proportion:
(person's height) / (length of person's shadow) = (building height) / (length of building's shadow)
Substituting the given values:
5 ft / 3 ft = 30 ft / (length of building's shadow)
Cross-multiplying:
5 ft * (length of building's shadow) = 3 ft * 30 ft
(length of building's shadow) = (3 ft * 30 ft) / 5 ft
(length of building's shadow) = 18 ft
Therefore, the length of the building's shadow is 18 ft.