Another law of sines :(

User Generated

djregm1

Mathematics

Description

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

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

User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

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.


Anonymous
Super useful! Studypool never disappoints.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags