question_answer

At the foot of a mountain, the elevation of its peak is found to be \[\frac{\pi }{4},\] after ascending h metre towards the mountain up a slope of \[\frac{\pi }{6}\] inclination, the elevation is found to be \[\frac{\pi }{3}\]. Height of the mountain is ________.

A)  \[\frac{h\,\,\left( \sqrt{3}+1 \right)}{2}\,\,m\]

B)  \[\frac{h\,\,\left( \sqrt{3}+1 \right)}{4}\,\,m\]

C)  \[\frac{h\,\,\left( \sqrt{3}-1 \right)}{2}\,\,m\]        

D)  \[\frac{h\,\,\left( \sqrt{3}-1 \right)}{4}\,\,m\]                     

E)  None of these