OK....let the tower height = H
And we have that
sin 32° = H / 45 rearrange as H = 45 * sin (32°)
And when the new cable is attached we have that
sin (angle we are loooking for) = H / 100
sin (angle we are looking for) = [ 45 * sin (32°) ] / 100
Take the arcsin
arcsin ( [ 45 * sin (32°) ] / 100 ) = angle we are looking for ≈ 13.8°