Question

1. *

a 40 - foot flagpole casts a 25 - foot shadow. find the shadow cast by a nearby building 200 feet tall. (draw a diagram and solve)
your answer

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 \(\frac{40}{25}=\frac{200}{x}\).

Step2: Cross - multiply

\(40x = 25\times200\).

Step3: Solve for \(x\)

\(40x=5000\), then \(x=\frac{5000}{40}=125\).

Answer:

The length of the shadow cast by the 200 - foot building is 125 feet.