SOLUTION: A football player is attempting a field goal. The angle formed by the player's position on the field and the line of sight to each upright is 33o. If the distances to the uprights
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Question 1065463: A football player is attempting a field goal. The angle formed by the player's position on the field and the line of sight to each upright is 33o. If the distances to the uprights are 7.5 m and 10.0 m, calculate the width of the uprights.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
use the law of cosines
:
let x be the width of the uprights
:
x^2 = (7.5)^2 + 10^2 - (2 * 7.5 * 10 * cos(33)) = 93.3497
:
x = square root(93.3497) = 9.6618 approximately 9.7
:
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the width of the uprights is 9.7 m
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