Question

a pole that is 3.5 m tall casts a shadow that is 1.11 m long. at the same time, a nearby tower casts a shadow that is 45.75 m long. how tall is the tower? round your answer to the nearest meter.

Explanation:

Step1: Set up proportion

Let $h$ = tower height.
$$\frac{3.5}{1.11} = \frac{h}{45.75}$$

Step2: Solve for $h$

Multiply both sides by 45.75:
$$h = \frac{3.5 \times 45.75}{1.11}$$

Step3: Calculate and round

Compute numerator: $3.5 \times 45.75 = 160.125$
Divide: $\frac{160.125}{1.11} \approx 144.257$
Round to nearest meter: $144$

Answer:

144 m