Problema Solution
The function h(x)= 1/98x^2 describes h(x), the height of part of a roller coaster 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?
Answer provided by our tutors
make good drawing
for x = 150/2 = 75 we find the estimate of the height of the towers
h(75) = (1/98)*75^2
h(75) = 57.4 ft
the estimate of the height of the towers is 57.4 feet.