A ferris wheel is rotating at the constant angular speed of 3 RPM counterclockwise. The platform of this ferris wheel is a circular disc of radius 24 feet. You jump onto the ferris wheel at the location pictured below.

If θ = 34^{o}, then what are your xy coordinates after 4 minutes?

If θ = 20^{o}, then what are your xy coordinates after 45 minutes?

So for both of these, which are similar problems, but different degree and timing, I'll start with the first one

First I know that the time is 4 minutes

I also know sin (34^{o}) = 0.559192904

Then θ = wt = (3 rev/min)(4 minutes)(2pi/1rev) = 75.39822369 radians

Though, I'm not sure if I'm doing it right, since I kind of got lost, but I know the radius is 24

Then after I get the right degrees, then I would use rcosθ to find x, and rsinθ to find y

Can anyone help me out here? Thanks