Surface area inside an elliptic cylinder

[MasterWu77]

Homework Statement

Find the surface area of that part of the plane 8x+3y+z=9 that lies inside the elliptic cylinder (x^2/64) + (y^2/9) =1

Homework Equations

not sure what equations i need to use. probably parametrization of a region

The Attempt at a Solution

i'm not quite sure how to start this problem. how do i related the elliptic cylinder with the plane?

 

[tiny-tim]

Hi MasterWu77!

You could just say it's a projection, and divide the base area of the cylinder by the appropriate cosine.

 

[MasterWu77]

ok but how would i say that it is a projection and what exactly do you mean by the appropriate cosine?