Question

A pole that is 3.3m tall casts a shadow that is 1.29m long. At the same time, a nearby tower casts a shadow that is 43.75m long. How tall is the tower? Round your answer to the nearest meter.

Answer 1

Height of tower to nearest meter is 111.92 meter

Solution:

Given that pole that is 3.3m tall casts a shadow that is 1.29m long

Also that at the same time, a nearby tower casts a shadow that is 43.75m long

To find: Height of tower

We can solve this by setting up a ratio comparing the height of the pole to the height of the tower and shadow of the pole to the shadow of the tower

`\frac{\text {height of pole}}{\text {length of shadow of pole}}=\frac{\text { height of tower }}{\text { length of shadow of tower }}`

height of pole = 3.3 m

length of shadow of pole = 1.29 m

height of tower = ?

length of shadow of tower = 43.75 m

Set up a proportion comparing the height of each object to the length of the shadow,

`(3.3)/(1.29)=\frac{\text { height of tower }}{43.75}`

`\begin{array}{l}{\text {height of tower}=(3.3 * 43.75)/(1.29)} \\\\ {\text {height of tower}=111.9186}\end{array}`

Thus the height of tower to nearest meter is 111.92 meter