Given:
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
To find:
The length of k, to the nearest inch.
Solution:
According to Law of sine,

In ΔKLM, using law of sine, we get



On further simplification, we get



Approximate the value to the nearest inch.

Therefore, the length of k is 55 inch.