Lecture-10

# Lecture-10 - June 15, 2010 Lecture 10: Pythagoras, circles...

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Lecture 10: Pythagoras, circles and lines June 15, 2010 Post-lecture report The Golf Problem. Precalculus . Department of Mathematics, University of Washington, 2007]. In it, the cup on the 9 th hole of a golf course is located at the center of a circular green that is 70 feet in diameter. We set up a coordinate system with unit 1 foot, placing the origin at the cup and letting the axes run south to north and west to east. A ball located at the point ( - 40 , - 50) follows a straight line path and exits the green at (35 , 0). We were to Fnd the coordinates of the point B where the ball enters the green. L 35,0 R L M 40, M 50 R A B C We were able to determine that B is - k (5 , 12), with k = 35 13 . Side AB has length 35 = 13 k , side AC has length 12 k and side BC has length 5 k . So, there is a 5-12-13 right triangle hidden in the construction of the problem. The fact that the coordinates of B are rational is noteworthy. Perhaps the authors aimed for this in constructing the problem, since it is kind to students. The

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## This note was uploaded on 11/23/2011 for the course MATH 6302 taught by Professor Madden during the Summer '11 term at LSU.

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Lecture-10 - June 15, 2010 Lecture 10: Pythagoras, circles...

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