Question

a pole that is 3 m tall casts a shadow that is 1.37 m long. at the same time, a nearby tower casts a shadow that is 44.5 m long. how tall is the tower? round your answer to the nearest meter.
m

Explanation:

Step1: Set up proportion

Let $h$ = tower height.
$$\frac{3}{1.37} = \frac{h}{44.5}$$

Step2: Solve for $h$

Multiply both sides by 44.5.
$$h = \frac{3 \times 44.5}{1.37}$$

Step3: Calculate and round

Compute value, round to nearest meter.
$$h = \frac{133.5}{1.37} \approx 97$$

Answer:

97 m