Question

the man whose height is 1.5m standing 8m from a lamp post observes his shadow cast by the light is 2m in length .find the height of the lamp post​

Answer 1

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Answer 2

According to question, the diagram is above on the pic .

In ∆ABE,

$tan( \alpha ) = \frac{be}{ae} \\ = > \tan( \alpha ) = \frac{1.5}{2} = \frac{3}{4}$

Again In ∆ACD,

$\tan( \alpha ) = \frac{cd}{ad} \\ = > cd = \tan( \alpha ) \times ad \\ = > cd = \frac{3}{4} \times 10 = 7.5m$

Hence, the height of lamp post is 7.5m .

Hope it helps to you .