I was able to get the velocity of the wedge but am not able to get the height. Can someone please explain how to get the height?

Question

A small block of mass 56 g is released from rest at the top of a curved frictionless wedge of mass 277 g which sits on a frictionless horizontal surface as shown. The acceleration due to gravity is 9.81 m/s 2. Right is the positive direction. When the block leaves the wedge, its velocity is 3.87 m/s to the right. What is the velocity vb of the wedge after the block reaches the horizontal surface? Answer in units of m/s. What is the height h of the wedge? Answer in units of m.

Answer 1

Use Conservation of energy, since frictionless the kinetic energy as it leaves the wedge would equal the Gravitational potential energy so mgh = 1/2 mv², m cancels so v²/ 2g = h