A person at point A spots a child in trouble at point B across the river. The person can run at a speed of 8.6 ft's and can swim at a speed of 3.9 ft's. In order to reach the child in the shortest time the person runs to point C and then swims to point B, as shown. Write a MATLAB program that determines the distance x to point C that minimizes the time the person can reach the child. In the program define a vector x with values with increments of 1. Use this vector to calculate the corresponding values of x.Then use MATLAB's built-in function min to find the value of x that corresponds to the shortest time. 10,000 ft 3,000 ft