Q.1 A circus artist is climbing a 20 m long rope, which is tightly stretched and tied from the top of a vertical pole to the ground. Find the height of the pole, if the angle made by the rope with the ground level is 30º (see figure).

In $$∆ \ ABC$$ , $$\frac{AB}{AC} \ = \ sin30º$$
=> $$\frac{AB}{20} \ = \ \frac{1}{2}$$    [ ∵ $$sin30º \ = \ \frac{1}{2}$$ ]
=> $$AB \ = \ \frac{1}{2} \ × \ 20 \ = \ 10$$