Final answer:
To find the length of NO in triangle NOP, we can use the Law of Cosines.
Step-by-step explanation:
To find the length of NO in triangle NOP, we can use the Law of Cosines. The formula for the Law of Cosines is c^2 = a^2 + b^2 - 2ab*cos(C), where a, b, and c are the lengths of the sides of the triangle, and C is the angle opposite side c. In this case, side NO is opposite angle N, and side NP is opposite angle P.
Using the Law of Cosines, we have:
NO^2 = PN^2 + OP^2 - 2*PN*OP*cos(P)
Substituting the given values, we have:
NO^2 = 20^2 + 18^2 - 2*20*18*cos(P)
Solving for NO, we find:
NO = sqrt(20^2 + 18^2 - 2*20*18*cos(P))
NO ≈ 15