Question 962541
Height, h(t) is defined as
h(t) = 88t - 11t^2 + 30
so we substitute 162 for h(t):
162 = 88t - 11t^2 + 30
0 = 88t - 11t^2 - 132
reordering terms:
0 = -11t^2 + 88t - 132
0 = -11t^2 + 22t + 66t - 132
0 = (-11t^2 + 22t) + (66t - 132)
0 = -11t(t - 2) + 66(t - 2)
0 = (t - 2)(-11t+66)
t = {2,6)