Question

is it true that if the height of tower is doubled and the distance between the observer and foot of tower is also doubled, then the angle of elevation remains same​

Answer 1

Answer:

yes it is true my friend you will understand one day

Answer 2

Answer:

It is true that if the height and distance  between the observer and foot of tower is doubled, the angle of elevation remains same​.

Step-by-step explanation:

See the attachment for the reference.

Let AB be the height of the building = H

Let BC be the distance between the tower foot and the observer = x

And let the angle of elevation ∠ACB be $\theta$

Therefore, in ΔABC,

tan  $\theta$ = $\frac{H}{x}$                                                                       --(i)

Now the new height = 2*H = 2H

New distance = 2 * x = 2x

And let the angle of elevation ∠EDB be $\phi$

Therefore, in ΔEBD,

tan  $\phi$ = $\frac{2H}{2x}$

tan  $\phi$ = $\frac{H}{x}$

tan  $\phi$ = tan  $\theta$          (from equation (i))

=> $\phi$ = $\theta$    

Therefore, it is true that if the height and distance  between the observer and foot of tower is doubled, the angle of elevation remains same​.