Question

angle of depression of top and bottom of 20 metre tall building from top of multistoried building at 30 degree and 60 degree respectively find the height of multistoried building​

Answer 1

Answer:

The height of the multi storey building and the distance between the two building is 43.704 m.

Step-by-step explanation:

Refer the attached figure  

Height of building i.e. AB = DC =8 m

The angle of depression to the top of the building AB from the top of a multi storey building  i.e. ∠EAD = 30°

The angle of depression to the the bottom of the building AB from the top of a multi storey building  i.e. ∠EBC = 45°

We are supposed to find the distance between two buildings i.e. BC =AD

Let ED be x

In ΔAED

Using trigonometric ratio

-1

In ΔEBC

Using trigonometric ratio

---2

Since BC = AD

So, equate 1 and 2

Substitute the value of x in 2

Hence the height of the multi storey building and the distance between the two building is 43.704 m.