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  • Little Jimmy wants to get something for his sister because it's her birthday. He stopped in the candy store to decide what to buy. Jimmy knows he can only reach the shelves that are 7.5ft tall. He looks at the top shelf of candy, standing 5ft. away and looking at an angle of 65°. Using Trig he discovers that Tan(65)=the height/5ft and therefore concludes that the height of the highest shelf is 10.7ft tall.
  • Tan(65)= H/5ft multiply both sides by 5 H= 5(tan)65
  • The Red Cafe
  • The Red Cafe
  • 10.7ft?!!? Thats way too tall for me
  • Jimmy is still 5ft away but this time looks at the middle shelf at an angle of 53°. Using trig he discovers that Tan53°= Height/5ft. He finds that the shelf is 6.6ft tall. He gets excited because that means he can reach!
  • Maybe the bottom shelf?
  • The Red Cafe
  • YES!! this will work. i will get her the mints!
  • On his way home a giant wind swept through the streets and blew his sister's gift onto the roof of a nearby cafe. He ran into the shop and asked for a ladder. He knows the roof is 11.5ft tall and the ladder is 15ft tall but he needs to know what angle to lay the latter at with the ground to reach the roof. He uses trig by saying Sin(L) = 11.5/15. This equals 50.1. so he knows to lay the ladder at an angle of 50.1.
  • Jimmy climbed up onto the roof but was too scared to come down. the store owner called the fire department to come rescue him. Once they were there, they needed to know how many feet of the ladder they needed to use and what angle to hold it at to reach the roof.
  • OHH NOO!
  • Using trig the fireman discover that tan(X)= 12/15 which equals 38.7°. They used the newly found information to figure out how much of the ladder they needed to raise. They did Cos(38. 7)= 15/x, which equals 19.2ft.
  • The fireman know the distance between the roof and the top of the truck is 12Ft. And the distance of the horizontal line on the top of the truck from the ladder to the the vertical line where the roof meets the top of the truck is 15ft.
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