A man 2 m high observes the angles of elevation of the rops of house and a window

The height of the window = x + 2 = 4.23 + 2= 6.23m

Step-by-step explanation:

The angle of elevation of the top of the house and the window is 60 and 45 degree.

We can proceed as drawing a diagram as a man of height 2m and a building of total height 12m.

we don't know the distance between man and the building let it be 'b'

=1

x=b .............(1)

total height of the building is given as 12m

  x + y + 2=12

x + y = 10 .....................(2)

 = tan 60

x =  ≈ 5.77m

y = 10 -  

y= 10(1- ) ≈ 4.23m

The height of the window = x + 2 = 4.23 + 2= 6.23m