Question

A bank security camera is mounted on a wall. The camera is set at an angle of depression of 19 degrees so that it is focused on a point on the floor near the main entrance door . The camera's horizontal distance of 26 feet from the the focus point on the floor.How high above the floor is the camera Round your answer to the nearest hundredth.

Answer 1

8.95feet

Explanation:

The set up is a right angled triangle where;

The camera's horizontal distance from the focus point = 26feet = Adjacent;

The height of the camera above the floor = Opposite = x

Angle of elevation = 19°

According to TOA in trig identity;

Tan theta = opp/adj

Tan 19 = x/26

x = 26tan 19

x = 26(0.3443)

X = 8.95feet

Hence the camera is placed at a height of 8.95feet above the floor