Trig Project

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  • Gunner is a good boy minding his own business. But out of nowhere- a wild squirrel appears! Gunner tries to chase it down but then it runs up that wood thing. Gunner now has to measure how high up the squirrel is so he will know if he can jump up high enough to reach it.
  • As he is good at math, he can accurately determine the distance between him and the wood thing, which is 4m, as well as the angle between him and the squirrel, 37 degrees, by using his eyes alone. tan(37)=o/4. o=4tan(37). o=3m.
  • To his dismay, Gunner still does not know how far away the squirrel from him. At least he knows how high up the squirrel is, and since he also knows the angle, he can use trigonometry to calculate what he needs to know. sin(37)=3/h. h=3/sin(37). h=5m
  • Now gunner has determined the height of the wood thing as well as how far away the squirrel is from him. But he doesn't know if he really even wants to get to the squirrel anymore or not. This procrastination causes him to get hit with his bad memory skills, and so he forgets what the angle is between him and the squirrel. While he is busy procrastinating the squirrel also crawls up the wood thing about 1 meter more, but Gunner takes a few steps towards the wood thing so that the length of the hypotenuse between them would remain the same So now he knows the height of the squirrel and the distance between them, but needs the angle because dogs like angles. sin^-1(4/5) = 53 degrees
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