Question

The angles of depression of the top and bottom of 8 m tall building from the top of a multistoried building are 30° and 45° respectively. Find the height of the multistoried building and the distance between the two buildings.

Answer 1

Let AD be the multistoried building of height h m. And angle of depression of the top and bottom are 30° and 45°. We assume that BE = 8, CD = 8 and BC = x, ED = x and
AC = h − 8. Here we have to find height and distance of building.

We use trignometrical ratio.

In,

Again in,

And

Hence the required height is meter and distance is meter.