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A soccer field has a rectangular penalty area that measures 136 feet by 54 feet. The goal is 24 feet wide and centered feet to either side of their position for a total coverage of 12 feet. A penalty kick is taken from a corner of the penalty area at position A (see the figure below). The goalkeeper stands between the middle of the goal and the nearest goalpost (segment CD). To score, the shooter must kick the ball withi Assume a = 56 feet and b = 54 feet. 3 24 ft C 12 D a B b DA

A soccer field has a rectangular penalty area that measures 136 feet by 54 feet. The goal is 24 feet wide and centered feet to either side of their position for a total coverage of 12 feet. A penalty kick is taken from a corner of the penalty area at position A (see the figure below). The goalkeeper stands between the middle of the goal and the nearest goalpost (segment CD). To score, the shooter must kick the ball withi Assume a = 56 feet and b = 54 feet. 3 24 ft C 12 D a B b DA

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A soccer field has a rectangular penalty area that measures 136 feet by 54 feet. The goal is 24 feet wide and centered along the back of the penalty area. Assume the goalkeeper can block a shot 6 feet to either side of their position for a total coverage of 12 feet. A penalty kick is taken from a corner of the penalty area at position A (see the figure below). The goalkeeper stands 6 feet from the goalpost nearest the shooter and can thus block a shot anywhere between the middle of the goal and the nearest goalpost (segment CD). To score, the shooter must kick the ball within the angle CAE. Find the measure of this angle to the nearest tenth of a degree. Assume a = 56 feet and b = 54 feet. O E 24 ft C 12' D a B b
Transcribed Image Text:A soccer field has a rectangular penalty area that measures 136 feet by 54 feet. The goal is 24 feet wide and centered along the back of the penalty area. Assume the goalkeeper can block a shot 6 feet to either side of their position for a total coverage of 12 feet. A penalty kick is taken from a corner of the penalty area at position A (see the figure below). The goalkeeper stands 6 feet from the goalpost nearest the shooter and can thus block a shot anywhere between the middle of the goal and the nearest goalpost (segment CD). To score, the shooter must kick the ball within the angle CAE. Find the measure of this angle to the nearest tenth of a degree. Assume a = 56 feet and b = 54 feet. O E 24 ft C 12' D a B b
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