Question

If the elevation of sun is ${30}^o$, then the length of the shadow cast by tower of $300$ft height is

Answer 1

Let AB be the tower of height 300 ft.

Let BC be the length of the shadow of the tower such that $\angle ACB={30}^o$

Now,

$\tan 30=\frac{AB}{BC}$

$\Rightarrow \frac{1}{\sqrt{3}}=\frac{300}{BC}$

$\Rightarrow BC=300\sqrt{3}ft$

So, length of the shadow of the tower is $300\sqrt{3}ft$