Question

from two points on the same side of the building the angle of elevation of the top of the building are 30 and 60 respectively if the height of the building is 10 M find the distance between A and B correct to 2 decimal places​

Answer 1

Please check the attachment

Hope this helps you !

Answer 2

Answer:

Let CD is the building A and B are two given point using horizontally on the same side of building.

In △DBC,

tan 60˚ = DC/CB

√3 = 10/y …..(1)

In △DCA, tan 30˚ = DC/CA

1/√3 = 10/(x + y) ….(2)

From (1), put y = 10/√3 in (2), we get

1/√3 = 10/(x + 10/√3)

1/√3 = 10√3/(√3x + 10)

30 = √3x + 10

x = 20/√3

x = 11.55 m

Hence, distance between two points A and B is 11.55 m.