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22. A 1500' zip line is connected between two poles. If the line makes an
18° angle with the ground, how far apart are the poles?

22. A 1500' zip line is connected between two poles. If the line makes an 18° angle with the ground, how far apart are the poles? class=

Answer :

Answer:

The distance between to poles is 1430' .

Step-by-step explanation:

You have to use Coeine Rule, cosθ = adjacent/hypotenuse. Then substitute the following values into the formula :

[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]

Let adj. = d,

Let hypo. = 1500' ,

Let θ = 18°,

[tex] \cos(18) = \frac{d}{1500} [/tex]

[tex]d = 1500 \cos(18) [/tex]

[tex]d = 1430 \: (3s.f)[/tex]

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