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40 POINTS A guy wire is attached to a 100-foot tower that is perpendicular ot the ground. The wire makes an angle of 55 degree with the ground. What is the length of the wire?

The wire is about 70 feet long.

The wire is about 122 feet long.

The wire is about 174 feet long.

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amuthjothika
I think the answer is the second one. Thanks!
akposevictor

Applying the trigonometry ratio, SOH, the length of the wire is about: 122 feet long.

What is the Trigonometry Ratio?

  • Trigonometry ratios are usually applied when finding any side length or angle measure of a right triangle.
  • They are easily remembered using the acronym: SOH CAH TOA.

The diagram of the tower and the guy wire is shown in the attached image below.

Thus:

Reference angle (∅) = 55°

Opposite = 100 ft

Hypotenuse = x (length of the wire)

Apply, SOH:

sin 55° = opp/hyp

sin 55° = 100/x

  • Solve for x

x = 100/sin 55°

x = 122 ft

Therefore, applying the trigonometry ratio, SOH, the length of the wire is about: 122 feet long.

Learn more about trigonometry ratio on:

https://brainly.com/question/4326804

Ver imagen akposevictor