Question

From top of the tower 100m high,the angle of depression of bottom and top of the building just opposite to it are observed to be 60 degree and 45 degree respectively then find height of building

Answer 1

Answer: height of building is 100(√3-1) / √3

Answer 2

Answer:

57.74 m

Explanation:

First, we will find the distance between the tower and the building. Once we know the distance between them, we can use this information to find the height of the building.

Find the distance between the tower and the building:

Let the distance be d

tan (60) = 100/d

d = 100/tan(60)

d = 57.74 m

Find the height of the building:

Let the height be h

tan (45) = h/57.74

h = 57.74 tan (45)

h = 57.74 m

Answer: The height of the building is 57.74 m