Advanced level maths. Need step solution. thanks in advance.

10 The production team of a popular variety show, Sprinting Man, is preparing a site for a segment of the show. In this segment, each participant is to sprint from the starting point, go up a ramp and press a buzzer to complete the challenge. slant wall H(0, 0, 12) buzzer (10.5, -10.5, 10.5) cable km ramp foam ball x-y-2: =3 ground Referring the starting point as the origin O and the horizontal ground as the x-y plane, the top surface of the ramp has equation x -y-2z =3 (see diagram that is not drawn to scale). Distances are measured in metres. (i) Find the angle of inclination of the ramp. A spherical polyurethane foam ball of radius I'm is suspended from a point H with coordinates (0, 0, 12) by a cable of length k m, that is taut all the time. The ball will be swung in various directions during the challenge to increase the level of difficulty. (ii) If the production team wants to ensure that the foam ball will never come in contact with the ramp, find the range of values that & can take. The buzzer that the participants are to press is located at the point with coordinates (10.5, -10.5, 10.5). This point lies on a flat slant wall which intersects the ramp along the line / with cartesian equation x = y +20, = =8.5. (iii) Find a cartesian equation of the slant wall