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A wire is stretched from the ground to the top of a pole as shown in the figure above. The length between the base of the pole and the point where the wire meets the ground is 15 feet. What is the length of the wire to the nearest hundredth of a foot?

A Wire Is Stretched From The Ground To The Top Of A Pole As Shown In The Figure Above The Length Between The Base Of The Pole And The Point Where The Wire Meets class=

Sagot :

Answer:

C. :)

Step-by-step explanation:

The length of the stretched wire is 17.34 feet.

What is cosine of an angle?

The cosine of an angle is: The length of the adjacent side divided by the length of the hypotenuse.

According to the given question.

The length between the base of the pole where the wire meets the ground is 15 feet.

And the length of the stretched wire is L.

Also, angle between the stretched wire and the base = 30 degrees.

Now, in the given figure, the cosine of 30 degree is given by

[tex]cos30 = \frac{15}{L}[/tex]

⇒[tex]\frac{\sqrt{3} }{2}= \frac{15}{L}[/tex]

⇒[tex]L = \frac{15(2)}{\sqrt{3} }[/tex]

⇒[tex]L = \frac{30}{1.73}[/tex]

⇒[tex]L = 17.34[/tex] feet

Hence, the length of the stretched wire is 17.34 feet.

Find out more information about cosine of an angle here:

https://brainly.com/question/9932656

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