We can answer the question above by using the trigonometric functions and the concept of similar triangles. Given that cos (L) is 4/5. The length of sides PN and NL can be solved. Please see solution below. 4/5 = NL / 15 ; NL = 12 Solving for PN, PN² + 12² = 15² The value of PN is 9. Then, using the concept of similar triangles, KN/(KN + NL) = PN/ KM Substituting the known values, 4/(4 + 12) = 9 / KM The value of KM is 36.
