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How Tall Is It? 2011. Maddie Wohlfarth Will Freeman Maryellen Newton Madeline Held. 30°. Tan= opp / adj Tan30=x/40 Tan30*40=x x≈23.09 . x. 30°. 40. Short leg= long leg / √3 40/√3=x 23.09=x. x + my height ( up to my eyes) = the height of the goal post 23.09+5=height of goal post.

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How tall is it 2011

How Tall Is It?2011

Maddie Wohlfarth

Will Freeman

Maryellen Newton

Madeline Held


30°

Tan=opp/adj

Tan30=x/40

Tan30*40=x

x≈23.09

x

30°

40

Short leg= long leg / √3

40/√3=x

23.09=x

x + my height ( up to my eyes) = the height of the goal post

23.09+5=height of goal post

  • Goal post= 28.09 feet


45°

45°

x ft

Tan=opp/adj

Tan45=x/22

Tan45(22)=x

x=22 ft

45°

90°

22 ft

In a 45-45-90 Δ, leg=leg, so x=22 ft.

My height to my eyes≈5.58 ft

Height of the Goalpost≈27.58 ft

22 ft+5.58 ft=27.58 ft


60°

xft

x+my height ( up to my eyes)=the height of the goal post

24.25+4.8=height of goal post

Goal post=29.05

Tan=opp/adj

Tan60=x/14

Tan60*14=x

x=24.25

60°

Short leg=Long leg√3

14=x√3

x=14/√3

x=24.25

14 ft


x + my height ( up to my eyes) = the height of the goal post

20.52+5.25=height of goal post

Goal post=25.77

25°

Tan 25=

Tan 25=

x

x≈20.52

25°

44 ft.


Conclusion
Conclusion

We learned how to use geometry, trigonometry, and special right Δs in everyday life to solve for height and length based problems that can be used in architecture and design. Our average goal post height was 27.62.


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