Answer: 9.97
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Explanation:
y = distance from the base of the pole to the closest person
y+200 = total horizontal distance
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Focus on the smaller right triangle.
tan(angle) = opposite/adjacent
tan(26) = 55/y
y*tan(26) = 55
y = 55/tan(26)
y = 112.76671 approximately
Make sure your calculator is in degree mode.
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Now move to the larger right triangle
tan(angle) = opposite/adjacent
tan(x) = 55/(y+200)
tan(x) = 55/(112.76671+200)
tan(x) = 55/312.76671
tan(x) = 0.17585
x = arctan(0.17585) same as [tex]\tan^{-1}[/tex]
x = 9.97349
x = 9.97 degrees approximately
