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To the nearest whole degree, what is the measure of Angle Q? 44º 49º 54º 59º
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To the nearest whole degree, what is the measure of Angle Q?

44º
49º
54º
59º

To the nearest whole degree, what is the measure of Angle Q? 44º 49º 54º 59º-example-1
User Reinier Kaper
by
4.7k points

1 Answer

2 votes

m∠Q = 44° is the answer

Explanation:

Using the cosine formula we can find the angle Q as,

RS² =RQ² + QS²-2(RQ)(QS) cos Q

24² = 20² + 34² - 2(20)(34) cos Q

576 = 400 + 1156 - 1360 cos Q

1360 cos Q = 400 + 1156 - 576

cos Q = 980/1360 = 0.72

Q = cos ⁻¹(0.72) = 44°

User Lionpants
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4.7k points
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