Question

a pole that is 2.8m tall casts a shadow that is 1.7 m long. At the same time, a nearby tower casts a shadow that is 38.5 m long. How tall is the tower?

Answer 1

63.4 m

Explanation:

We solve this using the formula:

Shadow of pole/Height of pole = Shadow of tower/Height of tower

Shadow of pole = 1.7m

Height of pole = 2.8m

Shadow of tower = 38.5m

Height of tower = x

Hence:

1.7m/2.8m = 38.5 m/x

Cross Multiply

1.7m × x = 2.8m × 38.5 m

x = 2.8m × 38.5 m/1.7m

x = 63.411764706m

Approximately

x = 63.4 m

Therefore, the height or how tall the tower is = 63.4 m