The angle of depression of a point situated at a distance of 70m from the base of a tower is 60°. The height of the tower is-

Answer: Option B

Solution

Answer: Option B

Solution:

Length of the tower AB = h meter.
$$\begin{array}{rl}& \angle DAC=\angle ACB=60^{\circ }\\ & BC=70\text{ meter}\\ & \text{In }△\text{ABC,}\\ & \text{tan }60^{\circ }=\frac{AB}{BC}\\ & \Rightarrow \sqrt{3}=\frac{h}{70}\\ & \Rightarrow h=70\sqrt{3}\text{ meter}\end{array}$$