Answer:
KL = 23
KM = 29
Step-by-step explanation:
By applying cosine rule in the given triangle KLM,
cos(∠M) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
cos(52°) = [tex]\frac{LM}{KM}[/tex]
cos(52°) = [tex]\frac{18}{KM}[/tex]
KM = [tex]\frac{18}{\text{cos}52}[/tex]
KM = 29.24
KM ≈ 29
By applying sine rule,
sin(52°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(52°) = [tex]\frac{KL}{29.24}[/tex]
KL = 29.24[sin(52°)]
= 23.03
≈ 23
KL = 23
