The angle of elevation of the top of a hill at the foot of a tower is

1.	The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle ofdepression from the top of tower to the foot of hill is 30°. If tower is 50 metre high,find the height of the hill
Answer» ln ∆ABC, h/x = tan 60° ⇒ h = x√3 ln ∆BCD, 50/x = tan 30° ⇒ x = 50√3 ∴ h = 150 ∴ Height of hill = 150 m

The angle of elevation of the top of a hill at the foot of a tower is 60° and the angle ofdepression from the top of tower to the foot of hill is 30°. If tower is 50 metre high,find the height of the hill

Answer»

ln ∆ABC,

h/x = tan 60°

⇒ h = x√3

ln ∆BCD,

50/x = tan 30°

⇒ x = 50√3

∴ h = 150

∴ Height of hill = 150 m