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lana66690 [7]
2 years ago
6

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,

to the nearest degree, the measure of the acute angle that the wire makes with the ground.
Mathematics
1 answer:
Agata [3.3K]2 years ago
6 0

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

#SPJ1

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