Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 5.8, Problem 27E
To determine

How far is dead center from first base?

Expert Solution & Answer
Check Mark

Answer to Problem 27E

342.3 feet

Explanation of Solution

Given information: Baseball: In baseball, dead center is the farthest point in the outfield on the straight line through home plate and second base. The distance between consecutive bases is 90 feet. In Wrigley Field in Chicago, dead center field is 400 feet from home plate.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.8, Problem 27E , additional homework tip 1

Calculation:

Determine the angle between the 400 feet side and 90 feet side.

  ∠DAB=90∘∠CAB=∠DAB2=45∘

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.8, Problem 27E , additional homework tip 2

Use law of cosines

  x2=4002+902−2×400×90cos(45∘)x2=117,188.3118x=117,188.3118x=342.3

Thus,

342.3 feet

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Chapter 5.8, Problem 26E
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Chapter 5.8, Problem 28E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 5.1 - Prob. 1CFUCh. 5.1 - Prob. 2CFUCh. 5.1 - Prob. 3CFUCh. 5.1 - Prob. 4CFUCh. 5.1 - Prob. 5CFUCh. 5.1 - Prob. 6CFUCh. 5.1 - Prob. 7CFUCh. 5.1 - Prob. 8CFUCh. 5.1 - Prob. 9CFUCh. 5.1 - Prob. 10CFU
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