the function h(x)=1/98x^2 describes h(x), the height of part of a rollercoaster 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?

Question

anonymous · Answer

|dw:1384641109150:dw|

If the towers are evenly spaced from the low point of the track 
$$x=0 \quad ; \quad h(0)=\frac{1}{98}(0)^2=0$$ 

then either tower would be spaced ±75ft from the center.  In that case, to find the height of the towers,
 
What is 

$$x=±75 \quad ;\quad h(75)=?$$