An arch is in the form of a semi-ellipse. It is 8 m wide and 2 m high at the centre. Find the height of the arch at a point 2.5 m from one end.
Asked by Topperlearning User | 13th Nov, 2016, 07:23: PM
The arch is in the form of a semi-ellipse. Hence let AA' be the arch, and
AA' = 8 m. or 2a = 8 a = 4 m.
The arch is 2m heigh hence OB = 2m. We have to find the height of the arch from one end at a distance of 2.5 m. Let AL be 2.5 m. We have to find the height LM.
OA = 4 m, AL = 2.5 m OL = 1.5 m.
The equation of the ellipse is
Answered by | 13th Nov, 2016, 09:23: PM
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