Honors Algebra II/Trig.
Name_______________________________
February 2014
Applications of the Distance and Midpoint Formula
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1.) A singles tennis court is a rectangle 27 feet wide and 78 feetlong. Suppose a player at corner A hits the ball to her opponentin the diagonally opposite corner B. Approximately how far doesthe ball travel, to the nearest tenth of a foot?2.) A doubles tennis court is a rectangle 36 feet wide and 78 feet long. If two players are standing in diagonallyopposite corners, about how far apart are they, to the nearest tenth of a foot?3.) A major league baseball diamond is a square having side lengths 90 feet.a)What is the distance from home plate to second base? b)The pitching rubber (shown as a white rectangle) is 60 feet 6inches from home plate. Find the distance from the pitchingrubber to first base.c)Draw a rectangular coordinate system on the baseball diamond so that the origin is at home plate, the positive x-axis is along the first base line, and the positive y-axis is along the third base line.d)What are the coordinates of first, second, and third base?


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