Question

Just need help with the way. thanks!

Answer 1

KN ≈ 20.7 cm

Explanation:

Using Pythagoras' identity in right triangle KLM to find KM

LM² = KL² + KM²

28² = 16² + KM²

784 = 256 + KM² ( subtract 256 from both sides )

528 = KM² ( take the square root of both sides )

`√(528)` = KM

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Using the sine ratio in right triangle KMN

sin64° =
`(opposite)/(hypotenuse)` =
`(KN)/(KM)` =
`(KN)/(√(528) )` ( multiply both sides by
`√(528)`

`√(528)` × sin64° = KN , that is

KN ≈ 20.7 cm ( to 1 dec. place )