Problem+Nine-+Tennis+Serve

== =TENNIS SERVE = ====Problem: Assuming the ball won't be changing direction from spin, determine the lowest angle that a tennis ball can hit the far back of the serving box of a tennis court in a singles match on a serve. Based on what you consider to be reasonable limitations, determine the highest angle that a tennis ball can hit the far back corner of the serving box of a singles tennis match on a serve. ====

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=**Explanation:** =
 *  In order to find the lowest and highest angles of a serve that a tennis ball will hit in the back corner of the serving box, we used a multitude of measurements and equations. First we established the dimensions of a tennis court and figured out whcih distances were needed for our problem. We used the length of the serving box and the height of the net to figure out the lowest angle first. Then we used thr Pythagorean Theorem to find the distance from the top of the net to the back corner of the serving box. Once we had those 3 distances or sides of our triangle, we used Sine to find the lowest angle a ball can hit the serving box on a serve. Then we had to find the highest angle possible. To do so, we first had to establish the height of the ball on the serve. We added all the components together which are the 10 inch jump, the arm length, the racquet length, and the height of the server. After that, we also used the length of the serving box including the distance to the serving line as the other side of our triangle. Then we applied the Pythagorean Theorem to find the hypotenuse or distance from the ball height at the beginning of the serve to the back corner of the serving box. Then we used Sine and the inverse to find the highest angle a ball can hit the back corner of the serving box in a singles match of tennis. Wimbledon, here we come!! **