Homing pigeons avoid flying over large bodies of water

Last updated: 3/21/2023

Homing pigeons avoid flying over large bodies of water preferring to fly around them instead Assume that a pigeon released from a boat 5 miles from the 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 10 miles from point A the point on the 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 5 miles Point P is miles away from point A Type an exact answer using radicals as needed