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

JK = 7.1 ft

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 = (opp)/(hyp)`

`\sin K = (JL)/(JK)`

`\sin 77^\circ = (6.9)/(JK)`

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

`JK = (6.9)/(\sin 77^\circ)`

`JK = 7.1`