how tall is it? 2011
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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. - PowerPoint PPT PresentationTRANSCRIPT
How Tall Is It?2011
Maddie WohlfarthWill Freeman
Maryellen Newton Madeline Held
30°
40
x
30°
Tan=opp/adjTan30=x/40Tan30*40=xx≈23.09
Short leg= long leg / √340/√3=x23.09=x
x + my height ( up to my eyes) = the height of the goal post23.09+5=height of goal postGoal post= 28.09 feet
45°
90°
45°
45°
x ft
22 ft
Tan=opp/adjTan45=x/22Tan45(22)=xx=22 ftIn a 45-45-90 Δ, leg=leg, so x=22 ft.
22 ft+5.58 ft=27.58 ft
My height to my eyes≈5.58 ft Height of the
Goalpost≈27.58 ft
60°
x+my height ( up to my eyes)=the height of the goal post24.25+4.8=height of goal postGoal post=29.05
60°
14 ft
x ft
Tan=opp/adjTan60=x/14Tan60*14=xx=24.25
Short leg=Long leg√314=x√3x=14/√3x=24.25
25°
25°44 ft.
x
Tan 25=
Tan 25=
x + my height ( up to my eyes) = the height of the goal post20.52+5.25=height of goal postGoal post=25.77
x≈20.52
ConclusionWe 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.