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A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from  to  as he walks towards the building. Find the distance he walked towards the building.

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Let the boy was standing at point S initially. He walked towards the building and reached at point T. It can be observed that PR = PQ − RQ = (30 − 1.5) m = 28.5 m = In ΔPAR, In ΔPRB, ST = AB Hence, he walked towards the building.
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Let the boy was standing at point S initially. He walked towards the building and reached at point T.

It can be observed that

PR = PQ − RQ

= (30 − 1.5) m = 28.5 m =

In ΔPAR,

In ΔPRB,

ST = AB

Hence, he walked towards the building.

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