equate range of the 45 degree throw and the sum of the ranges of the first throw and the bounce
assume y = angle of throw
Vo^2sin90/g = Vo^2sin2y/g + Vo^2sin2y/2g ------ equating ranges
Vo^2/g = Vo^2sin2y(1.5)/g ------ factor out variables
3/2 = sin2y------ dividing both sides by (Vo^2/g)
y= 27...