Question

The height of a tower is $100m$ and angle of elevation from a point on the ground to top of tower is ${30}^{\circ }$ find the distance of the point from the tower .

Answer 1

The height of tower is $100m$

The angle of elevation is ${30}^{\circ }$

$\tan {30}^{\circ }=\frac{\text{Height}}{\text{Distance}}\tan {30}^{\circ }=\frac{100}{\text{Distance}}\text{Distance}=100\sqrt{3}$