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 16mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.22 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?

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 16mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.22 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?

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.5: The Binomial Theorem

Problem 13E

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Question

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 16mi downshore from the pigeon's home loft at point A. Assume that a pigeon flying over water uses energy at a rate 1.22 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?