The angle of elevation from L to K measures 24°. If KL = 19, find JL. Round your answer to the nearest tenth.

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Geography

Issac Johns

13 September, 03:36

The angle of elevation from L to K measures 24°. If KL = 19, find JL. Round your answer to the nearest tenth.

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Gloria · Answer 1

Draw a triangle and label it JKL. The two legs are KJ and JL. Label the angle formed by JL and LK with 24 ° and the length of KL as 19.

To find JL, the Pythagorean theorem is used. Use the relationship between the adjacent side of the angle and the hypotenuse:

Cosine θ = Adjacent / Hypotenuse

Cos (24) = JL / 19

solve for JL = 17.35