The dotted path is the path of the ball. it reaches it's maximum height at the top where vertical, y-velocity = 0 The initial y-velocity = 19sin(70°) initial y-velocity = 17.85 m/s
Use one of the kinematic equations with velocity and time. No displacement because we don't want to worry about figuring that out.
v = u - gt 0 = 17.85 - 9.8t -17.85 = -9.8t 17.85/9.8 = t 1.82 sec = t