The eccentricity of the elliptical lake will be equal to e=0.4.
An ellipse is an oval shape geometry having two focuses and the curve is equidistant from the focus.
Given that:-
length of the lake is 2500 meters and the width is 1500 meters
So the eccentricity of the lake will be calculated as:-
[tex]e=\dfrac{\sqrt{a^2-b^2}}{a}\\\\\\e=\dfrac{\sqrt{2500^2-1500^2}}{2500}\\\\\\e=0.4[/tex]
Therefore the eccentricity of the elliptical lake will be equal to e=0.4.
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