Answer:
x ≈ 229.8
Step-by-step explanation:
using the cosine ratio in the right triangle
cos72° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{LM}{KM}[/tex] = [tex]\frac{71}{x}[/tex] ( multiply both sides by x )
x × cos72° = 71 ( divide both sides by cos72° )
x = [tex]\frac{71}{cos72}[/tex] ≈ 229.8 ( to the nearest tenth )
