Question

Mhanifa please help! I dont get this..

Answer 1

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:

• 180° - (88° + 35°) = 57°

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°