Question

The height of a tower is 10 m. What is the length of its shadow when Sun's altitude is 45°?

Answer 1

Let BC be the length of shadow is x m 

Given that: Height of tower is 10 meters and altitude of sun is 45°

Here we have to find length of shadow.

So we use trigonometric ratios. 

In a triangle ABC,

`⇒ tan = (AB)/(BC)`   

`⇒ tan 45°=(AB)/(AC)` 

`⇒1=10/x`

`⇒x=10`

Hence the length of shadow is 10 m.