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A guy wire (a type of support used for example, on radio antennas) is attached to the top of a 50 foot pole and stretched to a point that is d feet from the bottom of the pole

Math Oct 06, 2020

A guy wire (a type of support used for example, on radio antennas) is attached to the top of a 50 foot pole and stretched to a point that is d feet from the bottom of the pole. Express the angle of inclination as a function of d.

Expert Solution

The pole, the guy wire, and the distance between the bottom of the pole and the point where the guy wire is attached to the ground form a right triangle. By using the properties of a right triangle and the definition of Tangent of an angle we can conclude that:

If the angle of inclination is Theta, then,
tan (theta) = d/50
So Theta = arctan(d/50)

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