SOLUTION: If a cone is 8.5 cm high and has a vertical angle of 72 degrees, calculate the diameter of its base. Please draw the diagram also.
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Question 1049596: If a cone is 8.5 cm high and has a vertical angle of 72 degrees, calculate the diameter of its base. Please draw the diagram also. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! If a cone is 8.5 cm high and has a vertical angle of 72 degrees, calculate the diameter of its base.
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If the included angle at the vertex is 72 degs, then it's 36 degs from the centerline (assuming it's a right cone).
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Each side to the centerline is 36 degs.
tan(36) = r/8.5 where r = base's radius.
d = 17*tan(36) cm
