Answer:
(4) 90.°
Step-by-step explanation:
The maximum height reached by the ball depends on the vertical velocity of the ball: the greater the vertical velocity of the ball, the higher the ball will go.
The vertical component of the velocity of the ball is given by:

where
is the initial speed of the ball
is the angle at which the ball is thrown
Therefore,
will be maximum when
. And by solving this equation, we find that the angle that satisfies this condition is
, which corresponds to throwing the ball straight up.