1.1. A Big Wheel is modelled as a circle with centre O and radius 15 metres.

The wheel turns in an anticlockwise direction.

The lowest point on the wheel is always 2 metres above horizontal ground.

$C$ is a point on the wheel, $h$ metres above horizontal ground.

Angle $COB=x^{\circ}$
Show that $h=17-15cosx^{\circ}$

1.2. $D$ is a point on the wheel.

Angle $DOB=120^{\circ}$

Work out the height of $D$ above horizontal ground.

........................ metres

1.3. Here is a sketch of the graph $h=17-15cosx^{\circ}$for one complete turn of the wheel.

$P$ is the highest point on the graph.

Work out the coordinates of $P$.