Introduction to the Two Towers Task
Two vertical towers (PQ and ST) are secured by a steel cable. The cable goes from the top of one tower (P), to a point on the ground between the towers (R), to the top of the other tower (T). Assume that the height of tower is double the height of the other. Find the position of R that requires the least amount of cable. Calculate the minimal cable length. (Adapted from Calculus 4th Ed. (Stewart, p. 285, item 48)).