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A video camera is being mounted on a bank wall so as to have a good view of the head teller. Find the angle of depression that the lens should make if the camera is mounted 5.93 feet off the ground, and the teller is 12.02 feet from the ground beneath the camera.

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whitneytr12

Answer:

The angle of depression of the lens must be 26.3°

Step-by-step explanation:

Here we have a right triangle with the opposite side to the angle equal to 5.93 feet and the adjacent side to the angle equal to 12.02 feet. Therefore we just need to use the tangent definition to find the angle.

[tex]tan(\alpha)=\frac{5.93 ft}{12.02 ft}=0.49[/tex]

[tex]\alpha=tan^{-1}(0.49)=26.3^{\circ}[/tex]

The angle of depression of the lens must be 26.3°

I hope it helps you!