Question

To the nearest whole degree, what is the measure of Angle Q?

44º
49º
54º
59º

Answer 1

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°