What is the Designed Speed for a 100 m Radius Curve Banked at 68 Degrees?

[8parks11]

EASY speed of curve PROBLEM!

A race track curve has a radius of 100 m and is banked at an angle of 68 degrees. For what speed was the curve designed?


ok this is what i got

since tan angle = v^2/rg
i got tan 68 = v^2/rg
so tan 68 x rg = v^2
but this gave me an answer far from the actual answer of 49.
please help!

 

[lotrgreengrapes7926]

$$v=\sqrt{980\tan68^\circ}\approx49.25$$

 

[8parks11]

haha i had the calculator on radians
thank you haha