Question

In ΔJKL, the measure of ∠L=90°, the measure of ∠K=77°, and LJ = 6.9 feet. Find the length of JK to the nearest tenth of a foot.

Answer 1

Answer:

JK = 7.1 ft

Step-by-step explanation:

For angle K, JL is the opposite leg. JK is the hypotenuse. The trig ratio that relkates the opposite leg to the hypotenuse is the sine.

$\sin A = \dfrac{opp}{hyp}$

$\sin K = \dfrac{JL}{JK}$

$\sin 77^\circ = \dfrac{6.9}{JK}$

$(JK)\sin 77^\circ = 6.9$

$JK = \dfrac{6.9}{\sin 77^\circ}$

$JK = 7.1$