A pole is supported by two wires one on each side going in opposite directions the wires are 14ft and 17ft long if the wires are to be secured to the ground 22 feet from each other what angle must the 14 foot long wire make with the ground

Respuesta :

The angle the 14 foot long wire must make with the gound is approximately 51 degrees.

What is a right angle triangle?

A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms two right angle triangle.

Using cosine law,

17² = 14² + 22² - 2 × 14 × 22 cos C

289 - 196 - 484 = -616 cos C

-391 = -616 cos C

divide both sides by -616

cos C = -391  / -616

cos C = 0.63474025974

C = cos⁻¹ 0.63474025974

C = 50.59929658

C = 51 degrees.

Therefore, the angle the 14 foot long wire must make with the gound is approximately 51 degrees.

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