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.

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.

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step-by-step explanation:

let pq = qr = rs = x, and xz = y and zu = z.

if the horizontal lines are parallel, then corresponding segments are in proportion:

substitute:

therefore 3 = y = z.

xu = y + z → xu = 3 + 3 = 6