Question

when the sun is at a certain angle in the sky, a 50 - foot building will cast a 20 - foot shadow. what is the length of the shadow (in feet) cast by a 20 - foot pole at the same time? enter only the number.

Explanation:

Step1: Set up proportion

Let \(x\) be the length of the pole's shadow. The proportion is \(\frac{50}{20}=\frac{20}{x}\).

Step2: Cross - multiply

\(50x = 20\times20\).

Step3: Solve for \(x\)

\(x=\frac{20\times20}{50}=\frac{400}{50} = 16\).

Answer:

16