A 40 foot long wire stretches from the top of a vertical pole to a stake in the ground 18 feet from the foot of the pole. find,

Question

2 years ago

6

to the nearest degree, the measure of the acute angle that the wire makes with the ground.

1 answer:

Agata [3.3K] · Answer 1 · 2023-09-18T17:36:19+03:00

The measure of the acute angle that the wire makes with the ground is 63.27°.

The situation forms a right angle triangle.

<h3>How to find the angle of a right triangle?</h3>

The length of the wire is the hypotenuse of the right triangle.

The distance from the foot of the pole is the adjacent side of the right triangle.

Therefore,

cos ∅ = adjacent / hypotenuse

cos ∅ = 18 / 40

cos ∅ = 0.45

∅ = cos⁻¹ 0.45

∅ = 63.2563160496

∅ = 63.27°

learn more on right angle triangle here: brainly.com/question/14866099

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