The concrete dam $)=(2\mathrm{.}4$ shown below relies on its weight to hold back the water. One check of stability would be to evaluate the moment about point A and determine direction. If the dam will tend to rotate clockwise, it is not stable. Assume the dam is $200$ meters long $($into the paper$)$ and has a cross section of an isosceles triangle. Determine the minimum base width, $w,$ that ensures the stability of the dam. All dimensions are in meters.