When the angle of elevation of the sun is 30 degrees?

47.

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

D.

20√2 m

When the angle of elevation of the sun is 30 degrees?
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 is 30 degrees?

PC = h metreNow,  In Δ APC,  

When the angle of elevation of the sun is 30 degrees?

In Δ PCE, 

When the angle of elevation of the sun is 30 degrees?