SOLUTION: An archway that is above a highway is in the shape of a semi-ellipse 60 ft wide and 25 ft high. How high is the archway 10 ft away from the center ?
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-> SOLUTION: An archway that is above a highway is in the shape of a semi-ellipse 60 ft wide and 25 ft high. How high is the archway 10 ft away from the center ?
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Question 1092228: An archway that is above a highway is in the shape of a semi-ellipse 60 ft wide and 25 ft high. How high is the archway 10 ft away from the center ? Answer by ikleyn(52798) (Show Source):
The ellipse has the major axis of 60 ft long; hence, the major semi-axis is 30 ft long.
The minor semi-axis is 25 ft long.
Hence, the ellipse canonical equation is
+ = 1.
From it, y = .
Therefore, to find the answer, substitute x= 10 to the formula and calculate
y = = = = 23.57 ft.
