Solving Problems

Wednesday 6 August 2014

Applications in sport

Baseball

Use the law of cosines to determine how far first base is from the pitcher's rubber. 



Soccer



Basketball




If this guy shot the basketball in the hoop, what would be the height at which the player shot if he was 15ft from the basketball hoop and the height of the hoop was 10ft?

The solution is to use Pythagoras' theorem, then to square root the answer that you got to get the height at which he shot
c2= a2+b2
x2=152+102
x2=225+100
x=18 ft



Swimming


Kristin is swimming in the ocean and notices a coral reef below her. The angle of depression is 35°and the depth of the ocean, at that point is 250 feet. How far away is she from the reef? 

   Sinθ= O/H
  sin35= x/250
           x= sin(35)x250
           x= 143ft














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