Answer 46.1 feet Explanation Given information: Softball: In slow-pitch softball, the diamond is a square that is 65 feet on each side. The distance between the pitcher’s mound and home plate is 50 feet. Calculation: Use law of cosines to solve for the missing length. Use 45 ∘ and the value as C because the interior angles of square are 90 ∘ , And this one is being bisected. c = 50 2 + 65 2 − 2 ( 50 ) ( 65 ) cos ( 45 ∘ ) Simplify and solve for c c = 46.1 Thus, 46.1 feet

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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Question

Chapter 5.8, Problem 10CFU

To determine

How far does the pitcher have to throw the softball from the pitcher’s mound to third base to stop a player who is trying to steal third base?

Expert Solution & Answer

Answer to Problem 10CFU

46.1 feet

Explanation of Solution

Given information: Softball: In slow-pitch softball, the diamond is a square that is 65 feet on each side. The distance between the pitcher’s mound and home plate is 50 feet.

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 5.8, Problem 10CFU

Calculation:

Use law of cosines to solve for the missing length.

Use 45∘ and the value as C because the interior angles of square are 90∘ ,

And this one is being bisected.

c=502+652−2(50)(65)cos(45∘)

Simplify and solve for c

c=46.1

Thus,

46.1 feet

Chapter 5.8, Problem 9CFU

Chapter 5.8, Problem 11E

Chapter 5 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

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

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