Solve the given problems.
An architect is designing a window in the shape of a segment of a circle. An
approximate formula for the area is \(A=\frac{h^{3}}{2 w}+\frac{2 w h}{3}\)
where \(A\) is the area, \(w\) is the width, and \(h\) is the height of the segment.
If the width is \(1.500 \mathrm{m}\) and the area is \(0.5417 \mathrm{m}^{2},\)
use synthetic division to show that \(h=0.500 \mathrm{m}\).
