Question

A pole that is 3.5m tall casts a shadow that is 1.47m long. At the same time, a nearby tower casts a shadow that is 42.75m long. How tall is the tower? Round your answer to the nearest meter.

Answer 1

Answer:

The height of the tower nearby the pole is 102 m.

Solution:

Given,

Height of the pole = 3.5 m

Length of the shadow of the pole = 1.47 m

Length of the shadow of the tower nearby = 42.75 m

Let us assume the height of the tower as x

$\frac{height of the pole}{length of the shadow of the pole}=\frac{height of the tower}{length of the shadow of the tower}$

$\frac{3.5}{1.47} = \frac{x}{42.75}$

On solving for x we get,

$x = \frac{3.5}{1.47}\times 42.75$

$x = 101.785 m$

On rounding off to the nearest meter we get,

x=102 m

$\therefore$ The height of the tower is 102 meter.