A robot is on the surface of Mars. The angle of depression from a camera in the robot to a rock on the surface of Mars is 13.69 degrees13.69°. The camera is 198.0198.0 cm above the surface. How far is the camera from the rock?

Question

Joanna

Physics

25 December, 14:59

A robot is on the surface of Mars. The angle of depression from a camera in the robot to a rock on the surface of Mars is 13.69 degrees13.69°. The camera is 198.0198.0 cm above the surface. How far is the camera from the rock?

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Answers (1)

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Kyson · Answer 1

The distance between the camera and the rock is 836.6 cm

Explanation:

A right triangle is formed where the hypotenuse (h) is the distance between the rock and the camera. One of the leg (l) is the distance between the camera and the surface. The angle between the hypotenuse and this leg is α = 90° - 13.69° = 76.31°. By definition:

cos α = adjacent/hypotenuse

cos (76.31) = 198.0/h

h = 198.0/cos (76.31)

h = 836.6 cm