McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
Mid-Chapter Quiz
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Exercise 19 Page 661

Start by identifying the hypotenuse of the right triangle. Then find the sides that are opposite and adjacent to ∠ N.

5/13≈ 0.38

For the given right triangle, we want to write the ratio for the cosine of ∠ N. Let's start by identifying the hypotenuse of the triangle and the sides that are opposite and adjacent to ∠ N.

We see that the length of the hypotenuse is 39. The length of the side adjacent to ∠ N is 15 and the length of the side opposite to ∠ N is 36. With this information, we can find the desired ratio.

Ratio Definition Value
cos M Length of leg adjacent∠ N/Length of hypotenuse 15/39=5/13≈ 0.38