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3 years ago

What is the value of k if - 2/3(k - 6) = 3/2(k+6)

Mathematics

1 answer:

Colt1911 [192]3 years ago

3 0

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Answer: -30/13

I hope this helped!

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- Zack Slocum

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3 years ago

A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the

Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

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Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other) point of attachment of the cable to

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Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

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By trigonometric ratios, therefore;

$tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}$

Which gives;

$tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}$

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The best correct option is; <u>B. 35°</u>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

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2 years ago

What is the value of k if - 2/3(k - 6) = 3/2(k+6)​

What is the value of k if - 2/3(k - 6) = 3/2(k+6)