Precalculus Enhanced with Graphing Utilities (7th Edition)

7th Edition

ISBN: 9780134119281

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Textbook Question

Chapter 8.3, Problem 53AE

Soccer Angles A soccer goal is 8 yards wide. Suppose a goalie is standing on her line in the center of her goal as a striker from the opposing team moves the ball towards her. The near post angle, $α$ , is formed by rays extending from the ball to the near post and the goalie. Similarly, the far post angle, $β$ , is formed by rays extending from the ball to the far post and the goalie. See the figure.

a. Determine the near post angle and the far post angle when the striker is 20 yards from the near post and 24 yards from the far post.

b. How far is the goalie from the ball?

c. To cover the near post, the goalie moves toward the near post in order to make the near post angle and the far post angle equal. How far toward her near post does the goalie need to move?

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Chapter 8.3, Problem 52AE

Chapter 8.3, Problem 54AE

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Chapter 8 Solutions

Precalculus Enhanced with Graphing Utilities (7th Edition)

Ch. 8.1 - In a right triangle, if the length of the...Ch. 8.1 - If is an acute angle, solve the equation tan= 1 2...Ch. 8.1 - If is an acute angle, solve the equation sin= 1 2...Ch. 8.1 - True or False sin 52 =cos 48 Ch. 8.1 - The sum of the measures of the two acute angles in...Ch. 8.1 - When you look up at an object, the acute angle...Ch. 8.1 - True or False In a right triangle, if two sides...Ch. 8.1 - True or False In a right triangle, if we know the...Ch. 8.1 - In Problems 9-18, find the exact value of the six...Ch. 8.1 - In Problems 9-18, find the exact value of the six...

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