Question

Harry is installing a surveillance camera at the entrance of a Deli. He mounts the camera 8ft above the ground and 16 ft horizontally from the entrance. The camera is meant to monitor every customer who enters and exits the store. At want angle of depression should Harry set the camera to capture the faces of all customers? Use a diagram and mathematical calculations to help you explain your answer.

Answer 1

The angle of depression is found.

θ = 26.56°

Explanation:

Let point A be the entrance of a Deli.

Let point C be the location of camera.

Let point B be the horizontal distance from entrance to the camera.

It forms a right angled triangle. where Base = 16 ft and Perpendicular = 8 ft.

Let θ be the angle of depression at point B which is always equal to the angle of elevation at point A.

Using tan θ

`tan\theta= (Perpendicular)/(Base)\\tan\theta=(8)/(16)\\\theta=tan^(-1)(8)/(16)\\\theta=26.56^\circ`