Question

From a point A, the angle of elevation of the top of a vertical tower situated on the roof of 50 m high building is found to be θ. After walking some distance towards the tower the angle of elevation of bottom of tower from point B is also found to be θ. Find the height of the tower

Answer 1

Hey, there!

Here's the answer you are looking for.

Please see the attachment (for reference).

As you can clearly see, x (height of tower), here, is (inversely) proportional to d (distance at which the person was standing).

So, there is no particular value of x, unless d is mentioned, because for every value of d, the value of theta will change and for every value of theta, there will be a different value of x.


Hope that helps.

Thanks.

Answer 2

Here according to the question I have answered in the attachment.

The height of the tower will be=>

EC= (50a+50b)/b.

Remember some trigonmetric identity=>

1)Sin^2 + Cos^2 = 1

2)SinA =Perpendicular/hypotenuse

3)CosA= Base/Hypotenuse

4)TanA=SinA/CosA

or

Perpendicular/Base

5)SinA= 1/CosecA

6)CosA=1/SecA

7)TanA=1/CotA.