Question

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A security camera in a neighborhood bank is mounted on a wall 9 feet above the floor. What angle of depression should be used if the camera is to be directed to a spot 6 feet above the floor and 12 feet from the wall? ​

Answer 1

Answer: Approximately 14.03624 degrees

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Explanation:

One way to draw out the diagram is shown below.

Focus on the right triangle.

tan(angle) = opposite/adjacent

tan(x) = 3/12

tan(x) = 0.25

x = arctan(0.25)

x = 14.03624

Side note: arctangent is the same as inverse tangent denoted as $\tan^{-1}$