Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 7 mi directly out in the water from a point B on shore. Point B is 16 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.23 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? 7 ● X 16 Total energy (Energy rate over water) (Distance over water) + (Energy rate over land) (Distance over land) 16-X ●

Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 7 mi directly out in the water from a point B on shore. Point B is 16 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.23 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A? 7 ● X 16 Total energy (Energy rate over water) (Distance over water) + (Energy rate over land) (Distance over land) 16-X ●

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Part 1

Homing pigeons avoid flying over water. Suppose a homing pigeon is released on an island at point C, which is 7 mi directly out in the water from a point B on shore. Point B is

16 mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.23 times the rate over land. Toward what point S downshore from A should the pigeon fly in order to minimize the total energy required to get to the home loft at A?