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9966 [12]
3 years ago
13

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

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

KL = 23

KM = 29

Step-by-step explanation:

By applying cosine rule in the given triangle KLM,

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

cos(52°) = \frac{LM}{KM}

cos(52°) = \frac{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°) = \frac{KL}{29.24}

KL = 29.24[sin(52°)]

    = 23.03

    ≈ 23

KL = 23

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