Question

question

a telephone pole casts a shadow that is 50 feet long. nearby, an 8-foot-tall traffic sign casts a shadow that is 10 feet long. how tall is the telephone pole?

provide your answer below:

Explanation:

Set up the proportion

$$ \frac{\text{Height of pole}}{\text{Shadow of pole}} = \frac{\text{Height of sign}}{\text{Shadow of sign}} $$

$$ \frac{h}{50} = \frac{8}{10} $$

Solve for the height of the pole

$$ h = 50 \cdot \frac{8}{10} $$

$$ h = 5 \cdot 8 = 40 $$

Answer:

A telephone pole casts a shadow that is 50 feet long. Nearby, an 8-foot-tall traffic sign casts a shadow that is 10 feet long. How tall is the telephone pole?

Provide your answer below:

<blank>40</blank> ft