An arch is in the shape of a parabola with its vertex at the top. it has a span of 100 feet and a maximum height of 40 feet. find the equation of the parabola, and determine the height of the arch 15 feet from the center of the base of the arch.

36.4 ft

Explanation:

Given

Span of Parabola

Maximum height

suppose Parabola is of type

where is the center of parabola

at

and it is given,

thus

at

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