Description
In ΔLMN, n = 51 inches, ∠M=92° and ∠N=50°.
Find the length of l, to the nearest 10th of an inch.
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Explanation & Answer
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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
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