Question 1180218


{{{4x^2 - y^2 + 16y - 80 = 0 }}}........complete squares

{{{4x^2 - (y^2 -16y+b^2) -(-b^2)- 80 = 0}}}...........{{{b=8}}}

{{{4x^2 - (y^2 -16y+8^2) +8^2- 80 = 0}}}

{{{4x^2 - (y -8)^2+64- 80 = 0}}}

{{{4x^2 - (y -8)^2 =16}}}...........both sides divide by {{{16}}}

{{{4x^2/16 - (y -8)^2/16 =16/16}}}

{{{x^2/4 - (y -8)^2/16 =1}}} 

=> {{{h=0}}}, {{{k=8}}}, {{{a=2}}},{{{ b=4}}}

center is at ({{{0}}},{{{8}}}) 
The diameter at the center of the tower is {{{4}}} meters ({{{a=2}}} from each side of the center)
The center of the tower is {{{8}}} meters above the ground. (y coordinates of the center)