Question 24
A home plate in baseball has a triangular shape as modeled in Figure 1. We want to place a lamp at point $I$ to illuminate the entire home plate. After measuring and modeling the dimensions of the home plate as in Figure 2, set up an $Oxy$ coordinate system (Figure 3) where the vertices have coordinates $A(0;3)$, $B(4;0)$, and $C(4;7)$. Where should point $I$ be located (what are its coordinates) to ensure the entire home plate is illuminated?
