# Hunting with Trigonometry

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• x ft﻿
• ﻿20 ft
• 10 ft﻿
• 54o
• x ft﻿
• ﻿15 ft
• One day, a man named Dan went hunting in the forest. The reason he did was that he was very hungry. Eventually, while he walked through the woods with his bow and arrow, he came across a grouse in a tree. Dan is standing 20 feet away from the tree and the tree itself is 10ft tall. He tries to figure out what angle his bow needs to be at in order to shoot the bird. He then uses trig to find out the angle of elevation. He figures out that tan-1 (10/20)=26.6. That means the angle is about 27o .
• ﻿That wolf just ate that turkey!
• Once Dan had lined up his shot, he then pulled back his bow, while it was aimed directly at the bird. Then all of a sudden, right before he let go, the bird flew away. He was very depressed that he had missed such an opportunity. After, went to the meadow, where he looked again for an animal to hunt. ﻿
• x ft﻿
• 60o﻿
• 100ft﻿
• While the man was walking through the meadows, he heard a rustle in the grass. Right before him stood a turkey, right under a tree. The tree was 15 feet tall and his angle to the tree was 54o . To find out how far the turkey is and find out how far he needs to shoot, he uses trig. He figures out that 15/tan(54)= 10.9. Then this means he is about 11 feet away from the turkey. ﻿
• ﻿When Dan lines up his shot to kill the turkey, a wolf comes out behind a rock and eats the turkey right in front of him. Frightened, Dan runs away as fast as he can. He then chooses to search the mountains for any animals, as he decides that this is his last chance.
• Once Dan reaches the mountains, he sees a deer on the top. He decides to aim for this animal. First of all, he knows that the mountain is 100 feet tall and he is looking at the top of the mountain at an angle of 60o﻿. He then uses trig to find out how far he needs to shoot his arrow. He figures out that 100/sin(60) = 115.5. This means he needs to pull his arrow back far enough to reach about 116 feet.
• He ends up shooting the deer, bringing it home to eat. That night he ate a filling meal of venison, which he gladly enjoyed, as he fell to sleep afterwards. The end.
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