Question

A pole 5 m high is situated on a horizontal surface. Sun rays are incident at an angle ${30}^{\circ }$ with the vertical. What will be the size of shadow on horizontal surface

Answer 1

Given,

$h=5m,angle={30}^0$

So, we know that, according to the trigonometric identities,

$tan\theta =\frac{p}{b}=tan{30}^0=\frac{5}{b}$

$\frac{1}{\sqrt{3}}=\frac{5}{b}$

$b=5\sqrt{3}$

Thus the size of the shadow is $5\sqrt{3}$