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Old 07-26-2007   #2
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Draw a triangle ABC, where A= point where pole meets ground, B=point where pole meets tree, C=point where tree meets ground.Angle ACB = 85 deg, since tree is 5 degrees from verticalAngle BAC = 60 degrees, givenAngle ABC = 180 - 85 - 60 = 35 deg, since interior angles of a triangle add up to 180 degSide BC = 6 - 2 = 4m, since pole meets tree 2m from its top.There are several ways to proceed from here; one way is to use the law of sines, wherec / sin(C) = b / sin(B) = a / sin(A)So, c / sin(85) = 4 / sin(60)c = 4 (2/ sqrt(3)) (sin(85) = (8 /sqrt(3)) sin(85)or c = 4.6(Check for math errors above, but the logic should be OK)