Answer:
30.5 inches
Step-by-step explanation:
In ΔJKL,
j = 180 inches, ∠J=134°
∠K=7°, k=?
We determine the length of k using the Law of Sines.
[tex]\dfrac{k}{\sin K} =\dfrac{j}{\sin J} \\\\\dfrac{k}{\sin 7^\circ} =\dfrac{180}{\sin 134^\circ} \\$Cross multiply\\k*\sin 134^\circ=180*\sin 7^\circ\\$Divide both sides by \sin 134^\circ$ to obatin k.\\k=\dfrac{180*\sin 7^\circ}{\sin 134^\circ} \\\\k=30.5$ inch (to the nearest 10th of an inch)[/tex]
The length of k is 30.5 inches (correct to the nearest 10th of an inch.)
