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Izzy's school supplies

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Izzy's school supplies
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  • x feet
  • Izzy is getting ready for school. She needs to get her supplies from around her house. She is 8 feet tall and wants to get her bag from the shelf from an angle of elevation of 42°. She wants to find out how many feet she has to reach up. So she uses trigonometry to figure out her answer. She figures out that she has to reach 5.4 feet to get her backpack.
  • 42°
  • 8 feet
  • Work: sin(42)°=x/80.669=x/8x=0.669*8
  • 45 feet
  • Since Izzy got her backpack, she needs to start packing all her supplies. She starts off with her notebook. Her notebook is at an angle of depression of 40°. The distance from the notebook to her is 3 feet. She wants to find out how long the notebook is from her. She finds out that the length of the notebook to her is 53.6 feet.
  • 40°
  • Work: tan(40)=3/x0.839=3/xx=53.6
  • Izzy then packs her water bottle. Her water bottle is 2 feet high. The distance between her and the bottle is 5 feet. She wants to find out the angle that she needs to reach the bottle. Using her calculations, she figures out that she needs to reach the bottle in a 66.4° angle.
  • Work: cos(x)=2/5x=cos-1(2/5)x=66.4
  • Work:cos(23)=8/x0.92=8/xx=8.7
  • Last but not least, Izzy needs to get her pencils. She is 8 feet tall and needs to get her pack of pencils from an angle of elevation of 23°. She wants to find out how many feet she has to reach up in order for her to get the pack of pencils. She uses trigonometry to figure out her answer. Her calculations lead to the answer of 8.7 feet.
  • x feet
  • 23°
  • 8 feet
  • Finally, she needs to get her phone before she leaves. Her phone is at an angle of depression of 20°. The distance from the phone to her is 2 feet. She wants to find out how long the notebook is from her. She finds out that the distance from the phone to her is 5.5 feet.
  • x feet
  • 2 feet
  • 20°
  • Work: tan(20)=2/x0.364=2/xx=5.5
  • Now Izzy is ready to go to school with all of her supplies prepared! The End!
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