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yaroslaw [1]
2 years ago
10

A hydro company is laying down power lines in the ground. They have two sections of cable so far that are 325.0 m and 430.0 m lo

ng. These two sections of power lines meet at an angle of 23°. How much extra cable is necessary to connect the two pieces of existing cable? Round to the nearest metre.
Mathematics
1 answer:
Hoochie [10]2 years ago
3 0

The length of extra cable that is required to connect the two pieces of existing cable is equal to 182 meters.

<h3>How to determine the length of extra cable?</h3>

In order to determine the length of extra cable that is required to connect the two pieces of existing cable, we would apply the law of cosine as follows:

B² = A² + C² - 2(A)(C)cosB

Substituting the given parameters into the formula, we have;

B² = 325.0² + 430.0² - 2(325.0)(430.0)cos23

B² = 105,625 + 184,900 - 279,500(0.9205)

B² = 290,525 - 257,279.75

B² = 33,245.25

B = √33,245.25

B = 182.33 ≈ 182 meters.

Read more on cosine law here: brainly.com/question/11000638

#SPJ1

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