A very common Applied Optimization Problem in Calculus deals with minimizing a distance given certain constraints, using Calculus, the general method for solving these problems is to find a function formula for the distance that we need to minimize, take the derivative of the distance function, set it equal to zero, and solve for the input value, that should most of the time, lead to the optimal solution. In this article we provide alternatives for solving some Applied Optimization Problems related to minimizing a distance, without the use of the Derivative from Calculus, and instead, using a "Reflection Principle" based on symmetry, Geometric properties, and heuristic methods.