A pole that is 31m tall casts a shadow that is 128m long At

A pole that is 3.1m tall casts a shadow that is 1.28m long. At the same time, a nearby tower casts a shadow that is 45.75m long. How tall is the tower? Round your answer to the nearest meter.

Solution

Given that a pole of 3.1m tall casts a shadow of 1.28m long.

Let the required height of the tower is Xm and it casts a shadow of 45.75m long.

3.1m casts 1.28m long shadow

Xm casts 45.75m long shadow

By cross-multiplication,

1.28X=3.1*45.75

X=(3.1*45.75)/1.28

=110.8007m

Approximately 111m

Therefore, the height of the tower = 111m