Use the Law of Sines to find the missing angle of the triangle. Find measure of angle b given that c=83 , a=44 and that measure of angle a =31 . A=76.3 degrees B= 15.8 degrees C= 72.7 degrees,
Accepted Solution
A:
- Use the Law of SInes to find the measure of angle C: (sinC)/c = (sinA)/a sincC = c(sinA)/a C = sin⁻¹(c·sinA / a)
Plugging in numbers: C = sin⁻¹(83·sin(31) / 44) = sin⁻¹(0.97155) = 76.3° - We know that the sum of the internal angles of a triangle is 180°, therefore: B = 180 - (A + C) = 180 - (31 + 76.3) = 180 - 107.3 = 72.7°
- Therefore the corret answer is C: angle B is 72.7°