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, 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 22 yards from the near post and 26 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? a) α~ B≈ 10 .…….. (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.) Ο Near post B Goalie Far post

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, 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 22 yards from the near post and 26 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? a) α~ B≈ 10 .…….. (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.) Ο Near post B Goalie Far post

Trigonometry (11th Edition)

11th Edition

ISBN:9780134217437

Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels

Chapter1: Trigonometric Functions

Section: Chapter Questions

Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.

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Question

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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, 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 22 yards from the near post and 26 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?
a)
α~
B≈
0
………..
(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.)
Ο
Near
post
B
Goalie
Far
post

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