In ΔJKL, j = 1.7 inches, mm∠J=120° and mm∠K=47°. Find the length of k, to the nearest 10th of an inch.
To find the length of side KL, we can use the Law of Sines:
sin(∠J)/j = sin(∠K)/k
Plugging in the given values:
sin(120°)/1.7 = sin(47°)/k
0.866/1.7 = 0.731/ k
k = 1.7 * 0.731 / 0.866
k ≈ 1.44 inches
Therefore, the length of side KL is approximately 1.4 inches.