Stress, Strain, and Elastic Modulus (Problem 63)

During a walk on a rope, a tightrope walker creates a tension of $3.94\times 10^{3}N$ in a wire that is stretched between two supporting poles that are 15.0 m apart. The wire has a diameter of 0.50 cm when it is not stretched. When the walker is on the wire in the middle between the poles the wire makes an angle of $5.0\text{°}$ below the horizontal. How much does this tension stretch the steel wire when the walker is this position?