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Chapter 8: Q. 58 (page 517)

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?

Short Answer

Expert verified

So, the angle of depression is 14.03掳.

Step by step solution

01

Given Information

Given that a security camera in a neighborhood bank is mounted on a wall 9 feet above the floor. The camera is to be directed to a spot 6 feet above the floor and 12 feet from the wall.

02

Solution

We have to find the angle of depression.

We can draw a figure of the given problem as: -

We have to find 鈭�A.

Now, in 鈻�ADE,鈭�D=90掳,AD=12ft,DE=3ft

So,

tan(x)=DEADtan(x)=312tan(x)=14x=tan-114x=14.03掳

So, the angle of depression is 14.03掳.

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