The triangle is inside the circle with the vertices of the triangle on the circle - since the center of the circle is on the hypotenuse, the hypotenuse is the diameter(D) of the circle
:
D = 120 feet
:
circumference of the circle = 22/7 * 120 = 377.14 feet
perimeter of triangle = 120 + 60 + 103.92 = 283.92
:
********************************************************
1) total distance around circle + triangle = 661.06 feet
********************************************************
:
**************************************************************
2) the vertices of the triangular central area must lie on the
circular pool - construct perpendicular bisectors of two sides
of the triangular area, where they intersect is the center of
the circular pool, the distance from the center to any one of
the vertices of the triangular area is the radius of the
circular pool
**************************************************************
:
*****************************************************************
3) the intersection of the angle bisectors of the triangular area
is the center of the shark tank
*****************************************************************
:
***********************************************************
4) volume of pool = ((pi * 60^2) - area of triangle) * 4 =
(11314.285) - (1/2 * 103.92 * 60) * 4 = 32786.74 cubic feet
***********************************************************
:
*****************************************
5) 8196.685 * x < 30000
x < 3.66 feet
average depth must be less than 3.66 feet
*****************************************