quadric functions and parobolas

Question

If h(x)= 1/98 x^2, the height of part of the rollercoasters track, where x is the horizontal distance in feet from the center of this section of the track. The towers that support this part of the track are the same height and are 150 feet apart. Which is the best estimate  of the height of the towers?

 

a. 4 feet

b. 229.6 feet

c. 85.7 feet

d. 121.2 feet

Answer 1

the midpoint between the towers is at 75 feet ... calculating h(75) results in 57.4 ft ... best answer is c, 85.7?