Question

A peacock sitting on the top of a tree of height 10 m observes a snake moving on the ground. If the snake is $10\sqrt{3}$ m away from the base of the tree, then angle of depression of the snake from the eye of the peacock is

• A. $30^\circ$
• B. $45^\circ$
• C. $60^\circ$
• D. $90^\circ$

Hint:

Use tan = height/base to find angle of elevation or depression.

Answer 1

The Correct Option is C

In triangle, $\tan \theta = \dfrac{\text{opposite}}{\text{adjacent}} = \dfrac{10}{10\sqrt{3}} = \dfrac{1}{\sqrt{3}}$
$\theta = 30^\circ$, so angle of depression is $60^\circ$ (based on ratio).