UOIT Homing pigeons avoid flying over large Point P is miles away from bodies of water, preferring to fly around point A them instead Assume that a pigeon (Type exact answers, using released from a boat 4 miles from the radicals as needed.) shore of a lake (point B in the figure) flies first to point P on the shore and then along the straight edge of the lake to reach its home at L. If L is 8 miles from point A, the point on the shore closest to 4 the boat, and if a pigeon needs , as much energy per mile to fly over water as over land, find the location of point P, which minimizes energy used B 4 miles P 8 miles