When the angle of elevation of the sun increases from 30 to 60 the shadow of a tower decreases by 50 m find the height of the tower?

When the angle of elevation of the sun increases from 30 to 60, the shadow of a tower decreases by 50 m. Find the height of the tower.

49.

A man standing in one corner of a square football field observes that the angle subtend by a pole in the corner just diagonally opposite to this corner is 60°. When he retires 80 m from the corner, along the same straight line, he finds the angle to be 30°. The length of the field is

  • 20 m

  • When the angle of elevation of the sun increases from 30 to 60 the shadow of a tower decreases by 50 m find the height of the tower?

  • 40 m

  • When the angle of elevation of the sun increases from 30 to 60 the shadow of a tower decreases by 50 m find the height of the tower?

D.

When the angle of elevation of the sun increases from 30 to 60 the shadow of a tower decreases by 50 m find the height of the tower?

When the angle of elevation of the sun increases from 30 to 60 the shadow of a tower decreases by 50 m find the height of the tower?
Let A be the point where a man is standing and AP be the pole diagonally opposite to this corner and AE = 80 m (retires 80 m from the corner).

Let AB = BC = x metre,   

When the angle of elevation of the sun increases from 30 to 60 the shadow of a tower decreases by 50 m find the height of the tower?
 PC = h metre

Now,  In Δ APC,  

When the angle of elevation of the sun increases from 30 to 60 the shadow of a tower decreases by 50 m find the height of the tower?

In Δ PCE, 

When the angle of elevation of the sun increases from 30 to 60 the shadow of a tower decreases by 50 m find the height of the tower?