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anonymous
 one year ago
A tunnel is in the shape of a parabola. The maximum height is 50 m and it is 10 m wide at the base as shown below.
http://prntscr.com/80crs3
What is the vertical clearance 2 m from the edge of the tunnel?
anonymous
 one year ago
A tunnel is in the shape of a parabola. The maximum height is 50 m and it is 10 m wide at the base as shown below. http://prntscr.com/80crs3 What is the vertical clearance 2 m from the edge of the tunnel?

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phi
 one year ago
Best ResponseYou've already chosen the best response.1I would find the equation of the parabola, then use that equation with x=8 (which is 2 m from the edge at x=10)

phi
 one year ago
Best ResponseYou've already chosen the best response.1the zeros of this parabola are at x=10 and x=10 (with x=0 the middle of the parbola) in other words, y = a(x10)(x+10) where we still need to find a luckily we know when x=0 the parabola has height 50 (i.e. y=50) so put in x=0 and y=50: 50 = a(10)(+10) 50 = a* 100 divide both sides by 100 1/2 = a and the equation is \[ y=  \frac{1}{2} (x10)(x+10) \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1After posting all of that , I see the zeros are at x=5 and x=5 oops. but hopefully you can redo the work and get the correct equation?? the zeros of this parabola are at x=5and x=5 (with x=0 the middle of the parbola) in other words, y = a(x5)(x+5) where we still need to find a

phi
 one year ago
Best ResponseYou've already chosen the best response.1yes, and the equation is y = 2 (x5)(x+5) and 2 meters in from the edge (at x=5) would be x=3 (or x=3) so put in x= 3 into the equation and find y

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So is that the answer?
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