Use the law of sines to find the missing angle of the triangle. find mb given that c=16, a=17, and ma=73. a.0.0° b. 42.8° c. 64.2° d. 180.0°

option B. 42.8°

Explanation:

1) Law of sines

sinA / a = sinB / B = sinC / c

2) You know c = 16, a, = 17 and A = 73°, so you can find C:

sinC / c = sinA / a ⇒ sinC = sinA × c / a = sin(73°) × 16 / 17 = 0.900

⇒C = arcsin(0.900) = 64.16°

3)  Since the sum of the 3 angles is 180°, you calculate B as:

B = 180° - A - C = 180° - 73° - 64.16° = 42.84°

Where is the diagram

If you divide 0.1 and 0.6 you wii get 0.166666 which rounds to .167 which is answer b