A man 1.5 m tall stands 10√3 m from a lamp post. The angle of elevation of the top of the lamp post from his eye is 30°. Find the height of the lamp post.
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A man 1.5 m tall stands 10√3 m from a lamp post. The angle of elevation of the top of the lamp post from his eye is 30°. Find the height of the lamp post.

G1 Physics · Accepted Answer

Let lamp height be H. The vertical height above the man's eye is H−1.5. tan30°=(H−1.5)/(10√3). Hence H−1.5=10, so H=11.5 m.