Calculus..
posted by Isabella .
5. Eliminate the parameter and write the corresponding rectangular equations: x=32sin theta and y=1+5 cos theta

x = 32sinθ
y = 1+5cosθ
since sin^2θ+cos^2θ = 1,
[(x3)/2]^2 + [(y1)/5]^2 = 1
(x3)^2/4 + (y1)^2/25 = 1