Triangle Q M N is shown. The length of Q M is 18, the length of M N is 17, and the length of Q N is 20. Law of cosines: a2 = b2
+ c2 – 2bccos(A) What is the measure of AngleQ to the nearest whole degree? 43° 49° 53° 58°
1 answer:
Answer:
53°
Step-by-step explanation:
17² = 18² + 20² - 2(18)(20) cos Q
289 = 324 + 400 - 720 cos Q
289 = 724 - 720 cos Q
-435 = -720 cos Q
0.6042 = cos Q
Q = 52.83
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