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Hector and His Island

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Hector and His Island
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  • This is Hector. He has been trapped on this island for 5 years. The island has lots of varying foods. Also, this island has many animals including Hector's pet dog Chonky.
  • X
  • 68°
  • 20 ft
  • Hector wants to know how tall his door is from the ground. If the tree is 10 ft away, and the angle of elevation is 68°. Then he knows that the Tangent of 68° then he multiplies that by 10 and gets his height which is 8.08 ft tall. He now wants to explore the island.
  • 68°
  • If he knows that his hypotenuse is 5.8 ft long and the angle of depression is 58° and that means he needs to use cosine to find his length between him and Spot. X/5.8 ft so that means Cos(58°) * 5.8 = 3.07 ft away. And after he helped Chonky over he's now pretty thirsty.
  • 58°
  • X
  • Hector jumped over to this part of the island but he doesn't know if his dog Chonky can. He needs to know how far away Chonky is from him.
  • 5.8 ft
  • 58°
  • Hector wants to get a coconut off of the palm tree. If he knows that his hypoteneuse is 8 ft and his opposite side is 7ft then he needs to find his angle of elevation. He needs to use Sin to find his angle of depression. If the Sin^-1(7/8) then his angle of depression is 61.04°
  • X
  • 8FT
  • X
  • 7FT
  • Now that Hector has a house, has explored his island more, and has water and coconuts, he wants to hang out under a tree and relax with Chonky dog.
  • Sadly though, Hector has to escape the island with Chonky dog because he accidentally started a forest fire when boiling some water.
  • The EndTo be continued...
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