Question 1207668
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<pre>

From this point, you need to solve this equation

    s + {{{275*sqrt(s)}}} = 4400.


Let u = {{{sqrt(s)}}}  be new variable. Then your equation (1) takes the form

    u^2 + 275u = 4400,

or, equivalently,

    u^2 + 275u - 4400 = 0.


Apply the quadratic formula

    {{{u[1,2]}}} = {{{(-275 +- sqrt(275^2 + 4*4400))/2}}} = {{{(-275 +- sqrt(93225))/2}}}.


You are looking for positive solution "u", so, you accept the positive value, only, and deny the negative one.

So, you have

     u = {{{(-275 + sqrt(93225))/2}}} = 15.16384641...


Now you need to find  s  from equation  {{{sqrt(s)}}} = 15.16384641.

Square both sides and get  s = 15.16384641^2 = 229.9422379 feet.


So, the <U>ANSWER</U>  is : the distance to the water surface is  230 feet  (rounded).
</pre>

That's all: at this point, the problem is just solved to the end.