Question

boy is standing at some distance from a 30 m tall building and his eye level from the ground is 1.5 m. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.  

Answer 1

Answer:

Step-by-step explanation:

Ac/BD= tan 30

28.5/BD=1/root 3

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Ac/DC=tan 60

28.5/DC= root 3

28.5/root 3= DC

We know that

BC=DC+BD

28.5/root 3 + 28.5 root 3 = BC

BC= 57/root 3

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Rationalize

57/root 3 *root 3/root 3

=19 root 3

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I hope this will help you