McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
6. The Law of Sines and Law of Cosines
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Exercise 64 Page 679

Determine the trigonometric ratio to be used according to the information that is given.

40

Practice makes perfect

We are given the length of one of the legs and the hypotenuse of a right triangle, and want to find the measure of one of its acute angles ∠ J.

Note that we are given the opposite side of the unknown angle and the hypotenuse. Therefore, to find its measure, we will use the sine ratio.

sin J = Opposite/Hypotenuse ⇔ 9/14

The sine of the angle is 914. Now, to isolate m∠ J, we will use the inverse function of sin. sin J=9/14 ⇔ J=sin ^(- 1)9/14 Let's use a calculator to find the value of sin ^(- 1) 914. First, we will set our calculator into degree mode. To do so, push MODE, select Degree instead of Radian in the third row, and push ENTER. Next, we push 2ND followed by SIN, introduce the value 914, and press ENTER.

The measure of ∠ J is about 40.