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A soccer goal is 12 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, a, is formed by rays extending from the ball to the near post and the goalie. Similarly, the far post angle, B, 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 26 yards from the near post and 30 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? Goalie Far Near post post ..... a) (Round to one decimal place as needed.) (Round to one decimal place as needed.) b) The goalie is yards from the ball. (Round to two decimal places as needed.) c) The goalie should move approximately yards toward the near post. (Round to two decimal places as needed.)

A soccer goal is 12 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, a, is formed by rays extending from the ball to the near post and the goalie. Similarly, the far post angle, B, 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 26 yards from the near post and 30 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? Goalie Far Near post post ..... a) (Round to one decimal place as needed.) (Round to one decimal place as needed.) b) The goalie is yards from the ball. (Round to two decimal places as needed.) c) The goalie should move approximately yards toward the near post. (Round to two decimal places as needed.)

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter6: Circles
Section6.CT: Test
Problem 15CT
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A soccer goal is 12 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, a, is formed by rays extending from the ball to the near post and the goalie. Similarly, the far post angle, B, 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 26 yards from the near post and 30 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? Near Goalie Far post post ..... a) (Round to one decimal place as needed.) (Round to one decimal place as needed.) b) The goalie is yards from the ball. (Round to two decimal places as needed.) c) The goalie should move approximately yards toward the near post. (Round to two decimal places as needed.)
Transcribed Image Text:A soccer goal is 12 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, a, is formed by rays extending from the ball to the near post and the goalie. Similarly, the far post angle, B, 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 26 yards from the near post and 30 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? Near Goalie Far post post ..... a) (Round to one decimal place as needed.) (Round to one decimal place as needed.) b) The goalie is yards from the ball. (Round to two decimal places as needed.) c) The goalie should move approximately yards toward the near post. (Round to two decimal places as needed.)
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