Question

30. The angles of depression of the top and the bottom of a 8 m tall building from the top
of a multi-storeyed building are 30° and 45° respectively. Find the height of the multi-
storeyed building and the distance between the two buildings, correct to two decimal
places. plzzzz guys help me dont spam​

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.

Answer 2

Answer:

43.704 m

Step-by-step explanation:

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