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Question

When a plane mirror is placed horizontally on a 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 90 at O. The height of the tower will be


A
30 m
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B
60 m
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C
90 m
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D
120 m
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Solution

The correct option is B 60 m

Let h be the height of the tower.

As tower and its image is subtending an angle of 90.

Therefore, θ in triangle AOB is θ=45 and Base OB=60 m

h60 =tan45h=60tan45

h=60 m

Hence, option (b) is correct.

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