Question

1. a 15 - foot street lamp casts a 9 - foot shadow. if the street lamp is near a 71 - foot building, find the length of the shadow casted by the building.

Explanation:

Step1: Set up proportion

Let \(x\) be the length of the building's shadow. Since the ratio of object height to shadow length is constant, we have \(\frac{15}{9}=\frac{71}{x}\).

Step2: Cross - multiply

\(15x = 9\times71\).

Step3: Solve for \(x\)

\(x=\frac{9\times71}{15}=\frac{639}{15} = 42.6\).

Answer:

\(42.6\) feet