Problema Solution

Suppose a certain baseball diamond is a square 89 feet on a side. The pitching rubber is located 61.5 feet from home plate on a line joining home plate and second base. How far is it from the pitching rubber to first base?

Answer provided by our tutors

let


d = the distance from the pitching rubber to first base


Make a good drawing and use the Law of Cosines


d^2 = 61.5^2 + 89^2 - 2*61.5*89* cos (45)


d = 62.95 ft


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