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 30° to 60° as he walks towards the building. Find the distance he walked towards the building

According to the question:

p = 30 – 1.5 = 28.5 m,


Angle of elevation in first case = 30°


And


Angle of elevation, in second case = 60°.


Difference between bases in the first case and second case will give the distance covered by the boy.


1st case:





b = 28.5


2nd case:





Hence, the distance covered by boy:


= 28.5




= 19


25