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A guy wire attached to the top of a radio antenna

is bolted to the ground 48 m from the base of

the tower. If the wire makes an angle of 14°

with the ground. What is the length of the

guy wire? Round your answer to the nearest

hundredth of a meter.

PLEASE HELPED ITS TIMED

User Anil Sidhu
by
3.0k points

1 Answer

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Answer:


49.47\ \text{m}

Explanation:

The distance between the guy wire and the base of the pole is
48\ \text{m}

The angle between the guy wire and the ground is
14^(\circ)

From the trigonometric ratios we have


\cos\theta=\frac{\text{Adjacent side}}{\text{Hypotenuse}}\\\Rightarrow \cos14^(\circ)=(48)/(x)\\\Rightarrow x=(48)/(\cos14^(\circ))\\\Rightarrow x=49.47\ \text{m}

The length of the guy wire is
49.47\ \text{m}.

A guy wire attached to the top of a radio antenna is bolted to the ground 48 m from-example-1
User SidC
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