McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
Mid-Chapter Quiz
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Exercise 17 Page 661

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

5/12≈ 0.42

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

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

Ratio Definition Value
tan M Length of leg opposite∠ M/Length of leg adjacent∠ M 15/36=5/12≈ 0.42