question_answer

A rope of length 5 metres is tightly tied with one end at the top of a vertical pole and other end to the horizontal ground. If the rope makes an angle \[30{}^\circ \] to the horizontal, then the height of the pole is

A) \[\frac{5}{2}\,m\]

B) \[\frac{5}{\sqrt{2}}\,m\]

C) \[5\sqrt{2}\,m\]

D) \[5\,m\]

Correct Answer: A

Solution :

 Let the height of the pole \[OP=h.\]HP is the rope From   \[\Delta \,\,OHP,\]