Question

a pole that is 3.1 m tall casts a shadow that is 1.17 m long. at the same time, a nearby tower casts a shadow that is 37.75 m long. how tall is the tower? round your answer to the nearest meter.

Explanation:

Step1: Set up proportion equation

Let $h$ = tower height.
$$\frac{3.1}{1.17} = \frac{h}{37.75}$$

Step2: Solve for $h$

Multiply both sides by 37.75:
$$h = \frac{3.1 \times 37.75}{1.17}$$

Step3: Calculate and round

Compute numerator: $3.1 \times 37.75 = 117.025$
Divide: $\frac{117.025}{1.17} \approx 99.936$
Round to nearest meter: $100$

Answer:

100 m