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The angles of elevation of the top of a lamppost as seen from a point 40 m away from the post's foot are 45^o. Find the height of the lamp post.

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36 m

40 m

20 m

15 m

answer is B.

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Detailed Solution

According to the question:

Let the height of the lamp post be h meter.

$\tan 45 ° = \frac{h}{40}$

=> $1 = \frac{h}{40}$

=> $h = 40 m$

Thus, the height of lamp post will be 40 m .

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