A pole \(7 \ m\) high is fixed on the top of a tower. The angle of elevation of the top of the pole observed from a point \(P\) on the ground is \(60^\circ\) and the angle of depression of the point \(P\) from the top of the tower is \(45^\circ\). Determine the height of the tower and the distance of point \(P\) from the foot of the tower. (Use \(\sqrt{3} = 1.732\))
 
Height of the tower \(=\)
\(m\)
 
Distance of the point from the foot of the tower \(=\)
\(m\)
 
Answer variants:
14.063
12.563
9.563
11.563