Question

A 6 feet tall man sees an apple on the ground, $6\sqrt{3}$ feet away from him. What is the angle of depression when he is looking at the apple?

• A. ${30}^{\circ }$
• B. ${60}^{\circ }$
• C. ${45}^{\circ }$
• D. can't be determined

Answer 1

The correct option is B ${60}^{\circ }$


So, from the above figure,
$BC=6feet,AC=6\sqrt{3}feet.$
The angle of depression will be $\angle ABC$.

From the figure, we know that,
$tanB=\frac{AC}{BC}\Rightarrow tanB=\frac{6\sqrt{3}}{6}=\sqrt{3}So,tanB=\sqrt{3},onlyifB=60°.$