well we know that the 9.0 meter ladder is the hypotenuse And it is a right triangle with base of 1.5 meters. we have the adjacent and the hypotenuse. which is cosine. So:
cos (a) = adjacent/hypotenuse
cos (a) = 1.5/9.0
cos (a) = 1 / 6
a = cos^-1 (1 / 6)
a = 80.4 degrees