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How Tall is it? By: Vasili Kartos Sam Hudson Raven Le’Nard 1 st period March 8, 2011

By: Vasili Kartos Sam Hudson Raven Le’Nard 1 st period March 8, 2011

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Page 1: By: Vasili Kartos Sam Hudson Raven Le’Nard 1 st period March 8, 2011

How Tall is it?By: Vasili Kartos

Sam HudsonRaven Le’Nard

1st periodMarch 8, 2011

Page 2: By: Vasili Kartos Sam Hudson Raven Le’Nard 1 st period March 8, 2011

30o

60

30

30-60-90 Triangle:Base=L.legsh.leg=L.leg/√336 12 √3

Hyp.=2*Sh.Leg

Height=12* √3≈20.78

36

√3=

12√3

24√312√3 * 2 =24 √3

Trigonometry:Tan30=x/36X≈20.78

5.9

SAM!!!!

Page 3: By: Vasili Kartos Sam Hudson Raven Le’Nard 1 st period March 8, 2011

45o

45

45

45-45-90 triangle:the legs are =,height(5.5)+ the base(22)=27.5ft

22

22

5.5

22√2Trigonometry:Tan45=x/22X=22…Height(5.5)+x(22)=27.5ft

RAVEN!!!

Page 4: By: Vasili Kartos Sam Hudson Raven Le’Nard 1 st period March 8, 2011

60o

60

30

30-60-90 Triangle:Hyp=2*Sh.legl.leg=Sh.leg* √3Hyp=14*2=28L.leg=14* √3Height=14* √3Height≈24.25ft

5.11

14

28

14√3

Trigonometry:Tan60=x/14X≈24.25ft

VASILI!!!!

Page 5: By: Vasili Kartos Sam Hudson Raven Le’Nard 1 st period March 8, 2011

39o

39

59

5.11

Cos 39=24/y…24/Cos 39…y≈30.88ft

x

y

24

Tan 59=24/x…24/Tan 59…X≈14.42ft

5.11+14.42…Height≈19.53ft

VASILI!!!!

Page 6: By: Vasili Kartos Sam Hudson Raven Le’Nard 1 st period March 8, 2011

Conclusion

Person Height

Sam (30) 20.78ft

Raven (45) 27.50ft

Vasili (60) 24.25ft

Vasili (39)

AverageHeight

19.53ft

23.02ft

Our average height was 23.02 feet. We got this height by adding all four of the other heights together then dividing by 4.