Question

39.
A statue 3.6 m tall, stands on 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.​

Answer 1

Answer:

That one's easy. All u need is a lil knowledge about the basic of trigonometry and there you go.

Here lemme show you:

Step-by-step explanation:

Let's assume the height of pedestal be h and the distance of point from ground to statue's foot be d.

tan(60°) = (h + 3.6)/d

√3 = (h + 3.6)/d

Now,

tan(45°) = h/d

1 = h/d

therefore,

h = d

and,

h(√3 - 1) = 3.6

0.732 h = 3.6

h = 4.9

i. e., 5 metres approx