Respuesta :

mhanifa

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°

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