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Trigonometry Project
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  • Atticus needs to find out how tall the ladder has to be in order to remove the mud from the top of the house in order to clean his and his friend Nero's house. He already knows the diagonal length of the made up triangle which is 14 ft.
  • Atticus knows the angle of elevation because that is his eye level which is 12.So, he uses sin(12)=14/x so then we do x= 14/sin(12) which gives us the height which has to be a minimum of 67.34.
  • Atticus was able to remove the mud and tripped on the ladder breaking his leg and breaking the ladder. Nero helped Atticus go to the hospital and then he realized that there is more mud on the roof so he knows his angle of elevation is 23 and the diagonal length is 37 ft. So we use Soh Cah Toa and we use sin(23)=x/27 which equals 37*sin(23) = x which gives us 14.46 as the minimum height.
  • Atticus removes the mud and climbs down the ladder.
  • Atticus knows the height of the slide and the diagonal height of the slide but he needs to find the angle the slide makes with the ground so that the slide doesn't collapse and break. So we can use Soh Cah Toa and we use sin(x) = 12/16 and then we do x= sin^-1(12/16) which gives us the angle which is 48.59.
  • Atticus and Nero are now done with cleaning their house and installing the slide. Nero is now better within 1 month.
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