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# 1. What is the value of y in the triangle? Round your final answer to the nearest hundredth.

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1. What is the value of y in the triangle? Round your final answer to the nearest hundredth.

2. What are the values of the trigonometric ratios for this triangle?

Choose an answer to match each ratio. Options: 8/15, 8/17, 15/17, 17/15, 17/8, 15/8.

sin 0 _______(choose one of the options for the answer)

cos 0_______(choose one of the options for the answer)

tan 0_______(choose one of the options for the answer)

3. What is the value of x in this triangle? Round your final answer to the nearest hundredth.

Guest Apr 17, 2017
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For either of the two angles in a right triangle, other than the right angle itself, sin(angle)=opposite over hypotenuse, cos(angle)=adjacent over hypotenuse, and tan(angle)=opposite over adjacent

1.  sin(26.5)=y/15      y=15*sin(26.5) ≈ 6.69 ft

2. sin(theta)=8/17, cos(theta)=15/17, tan(theta)=8/15

3. not answerable - there is no figure showing x

Guest Apr 17, 2017
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I apologize, I'm new here.

#3

Guest Apr 17, 2017
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We know the adjacent side = 15 and the hypotenuse  = 29

So....we can use the cosine inverse to find x

arccos (15/29)  = x  ≈   58.85°

CPhill  Apr 17, 2017