Question 1086293
Complete the square,
{{{x^2-14x+y^2-150y=-49}}}
{{{(x^2-14x+49)+(y^2-150+5625)=-49+49+5625}}}
{{{(x-7)^2+(y-75)^2=5625}}}
So the circle is centered at ({{{7}}},{{{75}}}) and has a radius of {{{R=sqrt(5625)=75}}}.
The assumption is that {{{y=0}}} is the ground.
THe maximum height is then {{{y[max]=2R=150}}}{{{ft}}}