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Mr. Kelly wants to hang “icicle” Christmas lights and wants them to cover exactly from his roof to the top of his window. He really doesn’t want to get up on a ladder to measure so he decides to use some trigonometry. He walks 25 feet away from his house and measures the angle to the top of the window to be 59°. He then measures the angle to the roof to be 66°. How far will the “icicles” be?

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AnimalPost

Answer:

≈ 31.657 ft

Step-by-step explanation:

I'm not sure if I interpreted this problem correctly, but:

We are given an AAS triangle, so we should use the Law of Cosines:

[tex]\frac{cos(x)}{x}=\frac{cos(y)}{y}[/tex]

Looking at the problem, I believe that it should be set up like this:

[tex]\frac{cos(66)}{25}=\frac{cos(59)}{y}[/tex]

Which we can solve for y:

[tex]y=\frac{25cos(59)}{cos(66)}=31.657 ft[/tex]

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