We first construct a triangle. Since this is a scalene triangle, we will use the cosine law to find AB. We suppose AB is side C, BC is side B and CA is side A. Angle C is theta, which is 44°35'. We use the equation: C^2 = A^2 + B^2 - 2ABcostheta. Substituting the values, we get: C^2 = (456 ft)^2 + (580 ft)^2 - 2(456 ft)(580 ft)(cos 44°35") --> C^2 = 167594.6796 --> C = 409.38 ft.