The tops of two towers of height x and y, standing on level ground, subtend angles of 30° and 60° respectively at the centre of the line joining their feet, then find x, y.
Let AB and CD be the two towers of heights x and y, respectively.
Suppose E is the centre of the line joining the feet of the two towers i.e. BD.
Now, in ∆ABE,
Now, BE = DE .....(3) (E is mid-point of BD.)
So, from (1), (2) and (3), we get
Hence, the ratio of x and y is 1 : 3.