  We obtain brane inflation in configurations with Dp and D(p-2) branes which
are far apart and almost perpendicular to each other. Chaotic brane inflation
occurs when the branes can only rotate with the inflaton given by the angle
between the branes. When the branes can also move hybrid brane inflation occurs
where the inflaton is the distance between the branes and the trigger field is
related to the angle. In both models we find a spectral index very close to
one. Both types of inflation require $M_s \sim 10^{16-17} GeV$ with one large
radius of size $1/R \sim 10^{12-15} GeV$.
