A plane mirror is placed horizontally on level ground at a distance of 60 m from the foot of a tower. The top of the tower and its image in the mirror subtend an angle of 90o at the eye. Calculate the height of the tower.
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Answer:
Since the top of the tower and its image in the mirror subtends at the eye makes an angle of 90
o
, the other two angles at the beam and mirror interface will be 45
o
each.
Hence we have
tan45
o
=
OY
XY
⟹1=
60
XY
- ⟹XY=60m
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