Another law of sines :(

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In ΔLMN, n = 51 inches, ∠M=92° and ∠N=50°. 

Find the length of l, to the nearest 10th of an inch.
Jun 13th, 2015

Thank you for the opportunity to help you with your question!

In this triangle we know:

  • angle M= 92°
  • angle N = 50°
  • and side N = 51inch

It's easy to find angle h by using 'angles of a triangle add to 180°':

  L= 180° − 92° − 50° = 38°

We can also find side a by using The Law of Sines:

n/sin n = l/sin l

51/sin(50°) = L/sin(38°)

  L= (51 × sin(38°))/sin(50°)
  L= 40  inch

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 13th, 2015

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