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11111nata11111 [884]
3 years ago
15

Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth.

Mathematics
1 answer:
Scilla [17]3 years ago
8 0

Answer:

(D)

<u>Use the law of sines:</u>

  • 13 / sin x = 12 / sin 67°
  • sin x = 13 sin 67° / 12
  • sin x = 0.997
  • x = arcsin (0.997)
  • x = 85.6°

(E)

<u>Find the third angle:</u>

  • 180° - (48° + 61°) = 71°

<u>Use the las of sines:</u>

  • x / sin 61° = 21 / sin 71°
  • x = 21 sin 61° / sin 71°
  • x = 19.4 cm
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