Question

In a bank, a security camera is placed 10 feet high on a wall that is 45 feet from the front door. What angle of depression is needed so the camera aims for a point at the base of the front door?

Answer 1

a security camera is placed 10 feet high on a wall that is 45 feet from the front door

What angle of depression is needed so the camera aims for a point at the base of the front door?

Let's start by drawing a diagram of this situation

We can calculate the angle of depression using the following trigonometric function:

`\tan (\theta)=(10)/(45)`

Let's solve for theta

`\begin{gathered} \theta=\arctan \mleft((10)/(45)\mright) \\ \theta=0.21866=12.53^(\circ\: ) \end{gathered}`