The angle of elevation of a cliff from a fixed point is `theta`. After going up a distance of `k` meters towards the the top the cliff at an angle of `phi`, it is found that the angle of elevation is `alpha`. Show that the height of cliff is ` k(cos phi - sin phi cot alpha)/(cot theta - cot alpha)`

The angle of elevation of the top of a tower from a point A on the ground is 30^0dot On moving a distance of 20 metres towards the foot of the tower to a point B the angle of elevation increases to 60^0dot Find the height of the ttower and the distance of the tower from the point A.

The angle of elevation of the top of a tower from a point A on the ground is 30^0dot On moving a distance of 20 metres towards the foot of the tower to a point B the angle of elevation increases to 60^0dot Find the height of the ttower and the distance of the tower from the point A.

The angle of elevation of a cloud from a point h mt. above is theta^@ and the angle of depression of its reflection in the lake is phi . Then, the height is

The angle of elevation of the top of a tower standing on a horizontal plane from a point A is alpha . After walking a distance d towards the foot of the tower the angle of elevation is found to be beta . The height of the tower is (a) d/(cotalpha+cotbeta) (b) d/(cotalpha-cotbeta) (c) d/(tanbeta-t a nalpha) (d) d/(tanbeta+tanalpha)

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 40sqrt3 m towards the tower, the angle of elevation becomes 60^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground is 30^(@) . After walking 45 m towards the tower, the angle of elevation becomes 45^(@) . Find the height of the tower.

The angle of elevation of a cloud from a point h metre above a lake is theta .The angle depression of its reflection in the lake is 45^@ The height of the cloud is

The angle of elevation of a cloud from a point h metres above the surface of a lake is theta and the angle of depression of its reflection in the lake is phi . Prove that the the height of the cloud above the lake surface is : h ( ( tan phi + tan theta)/( tan phi - tan theta) )

The angle of elevation of the top of a tower as observed from a point on the ground is 'a' and on moving 'a' metre towards the tower, the angle of elevation is 'beta' Prove that the height of the tower is : (a tan alphatanbeta)/(tanbeta-tanalpha)

The angles of elevation of a cliff at a point A on the ground and at a point B 100 mt vertically above A are alpha are beta respectively.The height of the cliff in metres is