When a plane mirror is placed horizontally on a level ground at a distance of 60 metre from the foot of a tower. The top of the tower and its image in the mirror subtend at the eye an angle of \[{{90}^{o}}\], the height of the tower is:
A) \[30\,m\]
B) \[40\,m\]
C) \[60\,m\]
D) \[90\,m\]
Correct Answer:
C
Solution :
\[\tan 45=\frac{h}{60}\] \[1=\frac{h}{60}\] \[\therefore \] \[h=60m\] Height of tower is 60 m.