A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that is 40.0 meters from the base of the antenna. If the wire makes an angle of 55° with the ground, approximate the length l of the wire. (Round your answer to the nearest tenth.)

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11-06-2016
Mathematics

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A guy wire is attached to the top of a radio antenna and to a point on horizontal ground that is 40.0 meters from the base of the antenna. If the wire makes an angle of 55° with the ground, approximate the length l of the wire. (Round your answer to the nearest tenth.)

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lkudzma lkudzma · Answer 1 · 2016-06-11T23:24:57+02:00

lkudzma lkudzma

11-06-2016

It is useful to start by drawing a picture to visualize this problem.

In this case we are going to use the trigonometric function cosine, which is Cos(theta) = adjacent / hypotenuse.

Cos(55) = 40 / x

After simplifying we reach the equation: X = 40 / cos(55)

which would then make the length of the wire 69.7 meters long.

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