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How Tall is It ? Baseball Foulpole. By Will Henson, Keighly Laney , and Tori Gaston March 9, 2009 6 th Period. 10˚. Tori Gaston 42 feet from base Eye height: 58in. Tanx = opp. adj. Tan 10= x 42 42 (tan10)= x x≈7.41 X ≈ 7.41feet+58in
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How Tall is It?Baseball Foulpole By Will Henson, Keighly Laney, and Tori Gaston March 9, 2009 6th Period
10˚ Tori Gaston 42 feet from base Eye height: 58in Tanx =opp. adj. Tan 10= x 42 42 (tan10)= x x≈7.41 X≈7.41feet+58in x≈7.41feet+4.83 feet x≈12.24 10)
30˚ Will Henson 18 feet from base Eye height: 61.5inches Tan x= opp adj Tan 30= x 18 x≈10.39ft x≈10.39ft+ 61.5in x≈10.39ft+ 5.13ft x≈15.52 feet 30) Long leg= √3 short leg 18=√3short leg 18/√3= short leg Short leg=6√3 X≈ 10.39+5.13 x≈15 0r 6√3 + 5.13
45˚ Keighly Laney 10 feet from base Eye height: 58inches 45) Tan45= x 10 x= 10 10 + 58in 10ft + 4.83ft x= 14.83feet Short leg=short leg 10=10 10 + 58in 10 + 4.83 X ≈ 10.48
60˚ Will Henson 4 feet from base Eye height: 61.5inches 60) Long leg= √3short leg x= (√3) 4 x= 4√3 4√3ft + 61.5in 4√3ft + 5.13ft 93ft + 5.13ft = 12.06ft x ≈ 12.06feet or 4√3 + 5.13feet Tan= opp adj Tan60= x 4 x ≈ 6.93 6.93 + 61.5in 6.39 + 5.13ft x≈11.53feet
Conclusions • The average height of the foul pole for this project was 13.17 feet tall. • To find the height of the foul pole, each member of the group counted the distance from the foul pole at 10⁰, 30⁰, 45⁰, and 60⁰. We then used trigonometry and special right triangles to find the height of the foul pole. We used the distance from the base as one of the legs. For the special right triangles, we used a clinometer to measure the degrees in order to use the equation of tangent, and find the height. • One lesson we learned from this project is that the shorter the distance from the base, the greater the angle degree is.