What is the value of a?Round only your answer to the nearest tenth, if necessary.a. 26.9 cmb. 29.5 cmc. 32.6 cmd. 35.7 cm
Accepted Solution
A:
Note that the interior angles must add up to 180 degrees: 50+62+m<C = 180. Then 112 + m<C = 180, so that m<C =68 degrees.
Use the Law of Sines to find the value of a, as follows:
sin 50 deg sin 62 deg -------------- = ---------------- a 31 cm 31sin 50 31(0.766) Then 31sin 50 = a*sin 62, and a = --------------- = ---------------- = 26.9 cm sin 62 0.883