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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 1.5 m from one end.

Since, the tallness and width of the circular segment from the middle is

   

separately, obviously the length of the significant hub is

   

, while the length of the semi-minor hub is

   

The beginning of the organize plane is taken as the focal point of the oval, while the significant pivot is brought the

   

.

Consequently, Diagrammatic portrayal of semi-circle is as per the following:

The condition of the semi – ellipse will be of the from

   

Leave An alone a point on the significant hub with the end goal that

   

Presently draw

   

   

The x – coordinate of point

   

On subbing the worth of

   

in condition

   

we get,

   

Consequently, the stature of the curve at a point

   

from one end is roughly