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Bus Driver: It looks like we're in the bad part of town. Let's hope we don't run into any trouble!
Ah! A semi-elliptical archway that we must go through to reach our stop! The bus must be able to fit through it without going into the other lane.
It looks like it is 20 ft high and 50 ft wide. The bus is 14 ft tall and 10 ft wide.
Well, the a of this elliptical equation is 25 because the width of the archway is 50 (major axis/ 2).
The b is 20, since the height is 20, and the other half of the ellipse is technically underground.
BANDITS! I HAVE TO HURRY WITH MY EQUATION!!!
(x^2/25^2) + (y^2/20^2) = 1
0.65 is less than 1, so the bus can fit through! Let's go before the bandit gets us!
Well my x has to be 10 since the bus is 10 ft wide, and my y has to be 14 since it's 14 ft high.
That makes the equation (10^2/25^2) + (14^2/20^2) = 1. However, the first part of the equation ends up equalling 0.65.
Well folks, thanks for letting me be your bus driver today. I hope you enjoyed the ride!
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