Problem #106

A pole of a certain height breaks, but does not come apart. The top portion of the pole leans over and touches the ground at a distance of 30 feet from the base of the pole as shown in the figure at the left. The pole is repaired, but subsequently breaks at a point 15 feet lower than the previous break. This time the top of the pole ends up 60 feet from the base. What is the original height of the pole?

Back to the Archives

Back to the Math Department Homepage.