Question

lf the height of a tower and the distance of the point of observation from its foot, both, are increased by 10% ,then the angle of elevation of its top remains unchanged...... True or false.... Justify with figure... ​

Answer 1

Answer:

True......

Let the height of the tower =h and the distance of the point of observation from its foot =x. 

Let the angle of elevation =θ. 

∴tanθ=xh ............(i).

Again, if the height of the tower and the distance of the point of observation from its foot are increased by 10%,

Then the new height =H=h+100h×10=1011h  

And, the new distance of the point of observation from its foot

=X=x+100x×10=1011x. 

Let the new angle of elevation =ϕ. 

Then tanϕ=XH=1011x1011h=xh=tanθ     .......(from i).

∴θ=ϕ. 

So, the assertion is correct. 

Answer 2

Answer:

There u go......

True.