Question

In ΔKLM, l = 300 inches, ∠L=161° and ∠M=18°. Find the length of k, to the nearest 10th of an inch.

Answer 1

Answer:

16.1 Inches

Step-by-step explanation:

In ΔKLM,

∠K+∠L+∠M=180°

∠K+161°+18°=180°

∠K+179°=180°

∠K=180°-179°=1°

To determine k in the diagram, we use the Law of Sines.

$\frac{k}{Sin K}=\frac{l}{Sin L}$

$\frac{k}{Sin 1}=\frac{300}{Sin 161}$

k X Sin 161°=300 X sin 1°

k=(300 X sin 1°)÷sin 161°

k=16.1 inches (correct to the nearest tenth of an inch)