A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal.

Question

A statue, 1.6 m tall, stands on the top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60&deg; and from the same point the angle of elevation of the top of the pedestal is 45&deg;. Find the height of the pedestal.

Philoid · Accepted Answer

Let AD be the height of the statue which is 1.6 m,

And DB be the height of the pedestal.

And C be the point where observer is present.

Now,

In Δ ABC,

In Δ DBC,

On comparing (i) and (ii),