Question

The given figure, shows the observation of point $C$ from point $A$. The angle of depression from $A$ is:

• A. ${60}^{\circ }$
• B. ${30}^{\circ }$
• C. ${45}^{\circ }$
• D. ${75}^{\circ }$

Answer 1

Answer: (B)

${30}^{\circ }$

Let angle of depression be $\theta$

Now, $\angle ACB=\theta$ {Alternate angles}

In $△ACB,$

$\Rightarrow \tan \theta =\frac{AB}{BC}=\frac{2}{2\sqrt{3}}=\frac{1}{\sqrt{3}}$

$\Rightarrow \tan \theta =\tan {30}^{\circ }$

$\Rightarrow \theta ={30}^{\circ }$

Hence, the answer is ${30}^{\circ }.$