Assuming the shapes being drawn cover a small portion of the sphere, you should be able to get by with scaling the width by 1/cos(lat) and leaving height alone.

The larger the shape, the less well this will work though.

Assuming the shapes being drawn cover a small portion of the sphere, you should be able to get by with scaling the width by 1/cos(lat) and leaving height alone.

The larger the shape and the closer you get to the poles, the less well this will work though.