Explanation:
when you imagine the trigonometric triangle inside the norm circle, then we can compare the following things (and for an actual triangle all side lengths must be positive, so we can rotate and twist the given triangle, so that T is the circle center, and all sides are in positive directions) :
T is the circle center.
ST is the radius of the circle and the Hypotenuse of the triangle.
RT = 5 ft = cos(27°) × ST
RS = sin(27°) × ST
ST = 5/cos(27°) = 5.611631188... ft
RS = sin(27°) × ST = 2.547627247... ft