question_answer

A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 minutes for the angle of elevation to change from \[45{}^\circ \] to\[60{}^\circ \]. After how much time will this car reach the base of the tower?

A)  \[5\,(\sqrt{3}+1)\,mins\]

B)  \[6\,(\sqrt{3}+2)\,mins\]

C)  \[7\,(\sqrt{3}-1)\,mins\]    

D)  \[8\,(\sqrt{3}-2)\,mins\]