A projectile of mass m is fired from the surface of the earth at an angle a from the vertical, where a = 0.75 radians. The initial speed v0 is equal to v{GM/Rearth}. Calculate the maximum height that the projectile will reach. Neglect air resistance and the earth's rotation. Express the result as the ratio to the radius of the Earth. [Hint: Apply the conservation laws to the orbit of the projectile.]