Precalculus with Limits

3rd Edition

ISBN: 9781133947202

Author: Ron Larson

Publisher: Cengage Learning

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Question

Chapter 4, Problem 3PS

To determine

To find: The shortest distance $d$ of the helicopter to travel to the land as shown in the figure.

Expert Solution & Answer

Answer to Problem 3PS

$w=2183.05$ is the shortest distance.

Explanation of Solution

Given information:

The diagram is mentioned in the problem in which perpendicular is $3000ft$ and the shortest distance is $w$ .

Formula:

$tanθ=perpendicularbase=pb$ .

Calculation:

Consider the statement that the shortest distance $d$ of the helicopter would have to travel to land on the island.

Recall that the $tanθ=perpendicularbase=pb$ where perpendicular is $3000ft$ and base is $x+w$ and $θ=270$ .

Therefore $tan270=3000x+w⇒0.5095=3000x+w⇒x+w=30000.5095=5888.12$ .

Therefore $x+w=5888.12$ .

Now $tan390=3000x⇒0.8097=3000x⇒x=30000.8097=3705.07$ .

Therefore $x=3705.07$ .

Therefore the shortest distance is $x+w=5888.12⇒3705.07+w=5888.12⇒w=5888.12−3705.07=2183.05$ .

Therefore $w=2183.05$ the shortest distance.

Chapter 4, Problem 2PS

Chapter 4, Problem 4PS

Chapter 4 Solutions

Precalculus with Limits

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Prob. 40RE Ch. 4 - Prob. 41RE Ch. 4 - Prob. 42RE Ch. 4 - Prob. 43RE Ch. 4 - Prob. 44RE Ch. 4 - Prob. 45RE Ch. 4 - Prob. 46RE Ch. 4 - Prob. 47RE Ch. 4 - Prob. 48RE Ch. 4 - Prob. 49RE Ch. 4 - Prob. 50RE Ch. 4 - Prob. 51RE Ch. 4 - Prob. 52RE Ch. 4 - Prob. 53RE Ch. 4 - Prob. 54RE Ch. 4 - Prob. 55RE Ch. 4 - Prob. 56RE Ch. 4 - Prob. 57RE Ch. 4 - Prob. 58RE Ch. 4 - Prob. 59RE Ch. 4 - Prob. 60RE Ch. 4 - Prob. 61RE Ch. 4 - Prob. 62RE Ch. 4 - Prob. 63RE Ch. 4 - Prob. 64RE Ch. 4 - Prob. 65RE Ch. 4 - Prob. 66RE Ch. 4 - Prob. 67RE Ch. 4 - Prob. 68RE Ch. 4 - Prob. 69RE Ch. 4 - Prob. 70RE Ch. 4 - Prob. 71RE Ch. 4 - Prob. 72RE Ch. 4 - Prob. 73RE Ch. 4 - Prob. 74RE Ch. 4 - Prob. 75RE Ch. 4 - Prob. 76RE Ch. 4 - Prob. 77RE Ch. 4 - Prob. 78RE Ch. 4 - Prob. 79RE Ch. 4 - Prob. 80RE Ch. 4 - Prob. 81RE Ch. 4 - Prob. 82RE Ch. 4 - Prob. 83RE Ch. 4 - Prob. 84RE Ch. 4 - Prob. 85RE Ch. 4 - Prob. 86RE Ch. 4 - Prob. 87RE Ch. 4 - Prob. 88RE Ch. 4 - Prob. 89RE Ch. 4 - Prob. 90RE Ch. 4 - Prob. 91RE Ch. 4 - Prob. 92RE Ch. 4 - Prob. 93RE Ch. 4 - Prob. 94RE Ch. 4 - Prob. 95RE Ch. 4 - Prob. 96RE Ch. 4 - Prob. 97RE Ch. 4 - Prob. 98RE Ch. 4 - Prob. 99RE Ch. 4 - Prob. 100RE Ch. 4 - Prob. 101RE Ch. 4 - Prob. 102RE Ch. 4 - Prob. 1CT Ch. 4 - Prob. 2CT Ch. 4 - Prob. 3CT Ch. 4 - Prob. 4CT Ch. 4 - Prob. 5CT Ch. 4 - Prob. 6CT Ch. 4 - Prob. 7CT Ch. 4 - Prob. 8CT Ch. 4 - Prob. 9CT Ch. 4 - Prob. 10CT Ch. 4 - Prob. 11CT Ch. 4 - Prob. 12CT Ch. 4 - Prob. 13CT Ch. 4 - Prob. 14CT Ch. 4 - Prob. 15CT Ch. 4 - Prob. 16CT Ch. 4 - Prob. 17CT Ch. 4 - Prob. 18CT Ch. 4 - Prob. 19CT Ch. 4 - Prob. 20CT Ch. 4 - Prob. 1PS Ch. 4 - Prob. 2PS Ch. 4 - Prob. 3PS Ch. 4 - Prob. 4PS Ch. 4 - Prob. 5PS Ch. 4 - Prob. 6PS Ch. 4 - Prob. 7PS Ch. 4 - Prob. 8PS Ch. 4 - Prob. 9PS Ch. 4 - Prob. 10PS Ch. 4 - Prob. 11PS Ch. 4 - Prob. 12PS Ch. 4 - Prob. 13PS Ch. 4 - Prob. 14PS

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The shortest distance d of the helicopter to travel to the land as shown in the figure.

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To find: The shortest distance d<m:math><m:mi>d</m:mi></m:math> of the helicopter to travel to the land as shown in the figure.

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To find: The shortest distance $d$ of the helicopter to travel to the land as shown in the figure.