SOLUTION: While hovering near the top of a waterfall in a national park at 5184 ​feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t s

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: While hovering near the top of a waterfall in a national park at 5184 ​feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t s      Log On


   



Question 1062177: While hovering near the top of a waterfall in a national park at 5184 ​feet, a helicopter pilot accidentally drops his sunglasses. The height h(t) of the sunglasses after t seconds is given by the polynomial function h(t)=-16t^2 + 5184. When will the sunglasses hit the​ ground?
The sunglasses will hit the ground after ___ seconds.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
When h(t) = 0.

Solve -16t^2 + 5184 = 0,

16t^2 = 5184,

t= sqrt%285184%2F16%29 = sqrt%28324%29 = 18 seconds.