From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of a 10 m high building are 30 o and 60 o respectively. Find the height of the tower.

Question

Philoid · Accepted Answer

Let the point on the ground be A.

Let BC be the height of the building, BC=10m

And CD be the height of the transmission tower, CD=y m(let)

In ΔABC,

AB=10√3m………………………….(1)

In Δ ABD,

(From eq (1) AB=10√3)

10 + y=10 × 3

10 + y=30

y=20m

∴ The height of tramisiion tower =20m.

From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of a 10 m high building are 30o and 60o respectively. Find the height of the tower.

From a point on the ground, the angles of elevation of the bottom and top of a transmission tower fixed at the top of a 10 m high building are 30^o and 60^o respectively. Find the height of the tower.