Homing pigeons avoid flying over large bodies of water, preferring Point P is miles away from point A. to fly around them instead. Assume that a pigeon released from a boat 1 mile from the shore of a lake (point B in the figure) flies first (Type exact answers, using radicals as needed.) to point P on the shore and then along the straight edge of the lake to reach its home at L. If L is 2 miles from point A, the point on the 4 shore closest to 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 1 mile 2 miles