A flying squirrel lives in a nest that is 12 meters high in a tree. To reach a fallen acorn that is 16 meters from the base of t
he tree, how far will the flying squirrel have to glide?
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In the first octant, the given plane forms a triangle with vertices corresponding to the plane's intercepts along each axis.
Now that we know the vertices of the surface
, we can parameterize it by
where
and 
. The surface element is
With respect to our parameterization, we have
, so the surface integral is
Now that we know the vertices of the surface
where
With respect to our parameterization, we have