Question: Please solve within 20 minutes: Homing pigeons avoid flying over large bodies of water, preferring to fly around them instead. Assume that Point P is

Please solve within 20 minutes:

Homing pigeons avoid flying over large bodies of water, preferring to fly around them instead. Assume that Point P is miles away from point A a pigeon released from a boat 2 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 4 miles from point A, the (Type exact answers, using radicals as needed.) point on the shore closest to the boat, and if a pigeon needs 5 as much energy per mile to fly over water as over land, find the location of point P. which minimizes energy used. 2 miles 4 miles

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