A soccer field has a rectangular penalty area that measures 128 feet by 53 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 = 52 feet and b = 53 feet.= ° A soccer field has a rectangular penalty area that measures 128 feet by 53 feet. The goal is 24 feet wide and centeredalong the back of the penalty area. Assume the goalkeeper can block a shot 6 feet to either side of their position for a totalcoverage of 12 feet.A penalty itick is taken from a corner of the penalty area at position A (see the figure below). The goalkeeper stands 6 feetfrom the goalpost nearest the shooter and can thus block a shot anywhere between the middle of the goal and the nearestgoalpost (segment CD). To score, the shooter must kick the ball within the angle CAE. Find the measure of this angle to thenearest tenth of a degree. Assume a = 52 feet and b = 53 feet.24 ftC 12 D

a=52 feet and b=53 feetFormula needed →tanθ=PerpendicularBase

Answered: A soccer field has a rectangular…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.4: Polyhedrons And Spheres

Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...

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A soccer field has a rectangular penalty area that measures 128 feet by 53 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 = 52 feet and b = 53 feet.

= °

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