Question

The angle of depression of a point $200$ metres from the foot of a tree is ${60}^o$. How tall is tree?

• A. $\frac{200}{\sqrt{3}}$m
• B. $173$m
• C. $200\sqrt{3}$m
• D. $\frac{100}{\sqrt{3}}$m

Answer 1

The correct option is C $200\sqrt{3}$m

Let the height of the tree is $AB$

Then $\tan {60}^{\circ }=\frac{AB}{BC}$

$\Rightarrow \sqrt{3}=\frac{AB}{200}$

$\Rightarrow AB=200\sqrt{3}$