Question

a pole that is 2.6 m tall casts a shadow that is 1.52 m long. at the same time, a nearby building casts a shadow that is 41.75 m long. how tall is the building? round your answer to the nearest meter.

Explanation:

Step1: Set up proportion equation

Let $h$ = height of building.
$$\frac{2.6}{1.52} = \frac{h}{41.75}$$

Step2: Solve for $h$

Multiply both sides by 41.75:
$$h = \frac{2.6 \times 41.75}{1.52}$$

Step3: Calculate and round

First compute numerator: $2.6 \times 41.75 = 108.55$
Then divide: $\frac{108.55}{1.52} \approx 71.41$
Round to nearest meter: $71$

Answer:

71 m