Question

I really need some help with this question (Image attached)

Answer 1

KL = 23

KM = 29

Explanation:

By applying cosine rule in the given triangle KLM,

cos(∠M) =
`\frac{\text{Adjacent side}}{\text{Hypotenuse}}`

cos(52°) =
`(LM)/(KM)`

cos(52°) =
`(18)/(KM)`

KM =
`\frac{18}{\text{cos}52}`

KM = 29.24

KM ≈ 29

By applying sine rule,

sin(52°) =
`\frac{\text{Opposite side}}{\text{Hypotenuse}}`

sin(52°) =
`(KL)/(29.24)`

KL = 29.24[sin(52°)]

= 23.03

≈ 23

KL = 23