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Homework answers / question archive / 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

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

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.

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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)