Question

a pole that is 3.5 m tall casts a shadow that is 1.31 m long. at the same time, a nearby tower casts a shadow that is 41.75 m long. how tall is the tower? round your answer to the nearest meter.

Explanation:

Step1: Set up proportion

Let $h$ = tower height.
$$\frac{3.5}{1.31} = \frac{h}{41.75}$$

Step2: Solve for $h$

Multiply both sides by 41.75:
$$h = \frac{3.5 \times 41.75}{1.31}$$

Step3: Calculate value

$$h = \frac{146.125}{1.31} \approx 111.55$$

Step4: Round to nearest meter

Round 111.55 to whole number.

Answer:

112 m