A soccer goal is 10 yards wide. Suppose a goalie is standing on her line in the center of her goal as a striker from the opposing toam 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, p, is formed by rays extending from the ball to the far post and the goalie. Soe the figure. a) Determine the near post angle and the far post anglo when the striker is 28 yards from the near post and 32 yards fiom 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 noed to move? Goale Near Dost Far Dost .... 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 nal places as needed.) c) The goalie should move approximately (Round to two decimal places as needed.) yards toward the near post.

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Chapter1: Functions And Models
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A soccer goal is 10 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
28 yards from the near post and 32 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
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
vards toward the near post.
(Round to two decimal places as needed.)
II
Transcribed Image Text:A soccer goal is 10 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 28 yards from the near post and 32 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 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 vards toward the near post. (Round to two decimal places as needed.) II
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