Question

A circus artist is climbing from the ground along a rope stretched from the top of a vertical pole and tied to a peg at the ground. The height of the pole is 12 m and the angle made by the rope with the ground level is 30^o .Calculate the distance covered by the artist in climbing to the top of the pole.

Answer 1

$$\begin{gathered} \mathrm{Let}: \\ \mathrm{AC}=h(\mathrm{Length}\mathrm{of}\mathrm{the}\mathrm{rope}) \\ \mathrm{Let}\mathrm{AB}\mathrm{be}\mathrm{the}\mathrm{height}\mathrm{of}\mathrm{the}\mathrm{pole}. \\ \mathrm{Thus},\mathrm{we}\mathrm{have}: \\ \sin 30°=\frac{\mathrm{AB}}{\mathrm{AC}} \\ \Rightarrow \frac{1}{2}=\frac{12}{h} \\ \Rightarrow h=24\mathrm{m} \end{gathered}$$