To understand why the skateboarder didn't make it to the top of the other side of the half pipe, we need to consider the conservation of energy principles and the effects of energy losses due to friction and air resistance.
When the skateboarder drops in and starts to move down the half pipe, she converts potential energy at the top into kinetic energy at the bottom. However, as she skates up the other side, energy is converted back into potential energy. If she doesn't make it to the top, it indicates that some energy has been lost due to friction and air resistance, and possibly due to the inelastic nature of the interaction with the half pipe.
Among the options provided, the most effective action to help the skater reach the top of the other side of the half pipe would be:
Push off at the bottom of the half pipe in order to replace lost energy and add kinetic energy to the skateboard.
By pushing off at the bottom of the half pipe, she can increase her kinetic energy, which may help her achieve enough velocity to reach the top of the other side despite energy losses due to friction and air resistance.
The other options either do not directly address the issue of lost energy or would not have the desired effect in improving the skateboarder's reach to the top of the half pipe.