In ΔJKL, the measure of ∠L=90°, the measure of ∠J=9°, and KL = 49 feet. Find the length of JK to the nearest tenth of a foot.

in triangle KLJ

relationship between perpendicular and hypotenuse is given by sin angle

sin9°=p/h

sin9=KL/KJ

sin9=49/x

x=49/sin9=313.2

the length of JK to the nearest tenth of a foot is 313ft

In ΔJKL,

∠L= 90°,

∠J = 9°,

KL = 49ft.

Length of JK.

therefore, Sin9° = p/h

Sin9° = KL/JK

Sin9° = 49/JK

JK = 49/sin9°

JK = 49/0.156

JK = 314.10ft.

Length of JK to nearest tenth is 314ft.

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