A person walking towards a cliff observes the angle of elevation of its top as 30° and on going 82 meters nearer finds it to be 60°. Find the height of the cliff.

AAAaannndd the bot gets it wrong yet again!

hcot30° - h cot60° = 82
h = 82/(√3 - 1/√3) = 71m

Let h be the height of the cliff.

tan 30° = h/82
h = 82tan30°
h = 82(0.57735)
h = 47.3 meters