prismaticseavey prismaticseavey
  • 18-05-2021
  • Mathematics
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Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth.

Mhanifa please help Solve for the unknown in each triangle Round to the nearest tenth class=

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mhanifa
mhanifa mhanifa
  • 18-05-2021

Answer:

(D)

Use the law of sines:

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

(E)

Find the third angle:

  • 180° - (48° + 61°) = 71°

Use the las of sines:

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