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A man standing at a point P is watching the top of a tower, which makes an angle of elevation of $30 °$ with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes $60 °$ . What is the distance between the base of the tower and the point P?

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4 \sqrt{3} units

8 units

12 units

Data inadequate

answer is D.

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Detailed Solution

It is given that a man stands at a point P is watches the top of a tower at an angle of elevation of

30 ° .

Then the man walks some distance towards the tower and the angle of the elevation becomes

60 °

.
According to the given data the figure has been drawn below.
Question Image

From the data, we conclude that one of

AB, AD

and

CD

length is not provided.
So, the data is inadequate.
So the correct option is 4.

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