SOLUTION: An arch is in the form of a semiellipse. It is 48 ft wide at the base and has a height of 20ft. How wide is the arch at a height of 10 ft above the base?

Question 1184839: An arch is in the form of a semiellipse. It is 48 ft wide at the base and has a
height of 20ft. How wide is the arch at a height of 10 ft above the base?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Here the length of the major axis is given as -> and the height of the semi-ellipse is given as .
Now the standard equation of an ellipse with center at origin is:

Putting the values of a and b in the above equation of an ellipse, we have

For the height of feet, the equation becomes

ft
at a height of ft above the base, the arch is ft wide
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