Question

from the top of a 150m high tower the top and bottom of a another building can be seen with angles of depression 30 and 45 respectively Then find the height of the building and the distance between tower and building
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Answer 1

Answer:

▪︎ Height of the building = 63.40m

▪︎ Distance between the tower and the building = 150m

Step-by-step explanation:

Let,

• AC = the height of the tower

= 150m

=> h + y = 150m

BCDE is a rectangle,

• DC = BE = distance between the tower and the building

= 'x' m

• ED = BC = height of the building

= 'h' m

• <BEA = angle of depression to the top of the building from the tower

= 30°

• <CDA = angle of depression to the bottom of the building from the tower

= 45°

Note:-

In order to make calculations easier, I've taken different variables. If you are comfortable using '150-h', you can use that also. The answer would remain unchanged.

Explanation is given in the picture

Hope it helps!