SOLUTION: A baseball player bunts a ball down the first base line. It rolls 36 ft at an angle of 26º with the first base path. The pitcher mound is 60.5 ft from the home plate. How far must

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Question 1047130: A baseball player bunts a ball down the first base line. It rolls 36 ft at an angle of 26º with the first base path. The pitcher mound is 60.5 ft from the home plate. How far must he travel to get the ball?
Answer by Alan3354(69443) About Me  (Show Source):
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A baseball player bunts a ball down the first base line. It rolls 36 ft at an angle of 26º with the first base path. The pitcher mound is 60.5 ft from the home plate. How far must he travel to get the ball?
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Label home plate A, pitcher's mound C, and the ball at B.
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Angle CAB = 45 - 26 = 19 degs
AB = side c = 36
AC = side b = 60.5 feet
BC = side a, to find
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Use the Cosine Law:
a^2 = b^2 + c^2 - 2bc*cos(19)
Solve for a