- Nothing much dad, I was just figuring out the height of the chimney using trigonometry.
- Son, why are you simply staring at the chimney for so long ?
- Yeah sure !
- Wow! Can you please explain me how are you doing it.
- Dad it's simple, I already measured the angle of which I see the top of the chimney using a clinometer and measured the distance between the chimney and me.
- Ok....so, how are you gonna find the height with these measurements ?
- We'll have to use the trigonometric table, through which I will substitute the value of angle and the correct trigonometric ratios
- ok, so can you say what is the height of the chimney using trigonometric ratios?
- The angle at which I see the top of the chimney is 60°, and the distance between me and the building is 30m. so here we will use Tan as, tanA=O/A. so, tan 60=√3, then ,√3=O/30=O=30√3=10√3m. Therefore the height of the chimney is 10√3m
- Thanks Dad!
- Wow! Impressive son, come let's go home now. Your mom might have made some delicious food by now