Question

The height of tower is 100m, when the angle of elevation of sun is 30°, then what is the shadow of the tower

Answer 1

hope this helps you ☺☺☺☺

Answer 2

Answer:

Length of shadow = 100√3 m.

Step-by-step explanation:

In the question,

We have been provided that,

The height of the tower, h = 100 m

Angle of elevation of the sun, θ = 30°

Now,

Let us say the length of the shadow is = x.

So,

In the triangle ABC, we can say that, from the trigonometric property,

$tan\theta=\frac{AB}{BC}\\tan30=\frac{AB}{x}\\\frac{1}{\sqrt{3}}=\frac{100}{x}\\x=100\sqrt{3}\, m$

Therefore, the length of the shadow is given by,

$x=100\sqrt{3}\, m$