Question

which proportion can be used to find h, the height of the building in feet? a $\frac{3}{h}=\frac{18}{6}$ b $\frac{6}{3}=\frac{18}{h}$ c $\frac{3}{15}=\frac{h}{6}$ d $\frac{6}{3}=\frac{h}{18}$

Explanation:

Step1: Use similar - triangle property

Since the triangles formed by the person and the building with respect to the light - source (assumed) are similar, the ratios of corresponding sides are equal. The ratio of the height to the base of the smaller triangle (formed by the person) should be equal to the ratio of the height to the base of the larger triangle (formed by the building). The height of the person is 6 ft, the base of the person's triangle is 3 ft, the base of the building's triangle is 18 ft, and the height of the building is \(h\). So the proportion is \(\frac{6}{3}=\frac{h}{18}\).

Answer:

D. \(\frac{6}{3}=\frac{h}{18}\)