Answer:
Use the law of sines
- a / sin A = b / sin B = c / sin C, where a and A opposite side and angle, same for others
(A)
- 17 / sin 42° = 22° / sin x
- sin x = 22 sin 42° / 17
- sin x = 0.87
- x = arcsin (0.87)
- x = 60.5°
(B)
First find the opposite angle to x:
Now use the law of sines:
- x / sin 57° = 44° / sin 88°
- x = 44 sin 57°/ sin 88°
- x = 36.9 mm
(C)
- 6 / sin x = 9.4 / sin 51°
- sin x = 6 sin 51° / 9.4
- sin x = 0.496
- x = arcsin (0.496)
- x = 29.7°
