From a window h m high above the ground in a street, the angles of elevation and depression of the top and foot of the other house on the opposite side of the street as `alpha` and `beta` respectively show that height of the opposite house is `h(1+tan alpha cos beta)m`.

Fom a window 60m high above the ground of a house in a street ,angles of elevation and depression of the top and the foot of another house on the opposite side of the street are 60° and 45° respectively. Show that the height of the opposite house is 60(1+sqrt 3)m

From the top of a building 60m high the angle of depression of the top and the bottom of vertical lamp post an observed 30° and 60 ° respectively.Find The height of the lamp post.

From a point on the ground,the angles of elevation of the bottom and the top of a transmission tower fixed at the top of a 20m hihg building are 45^@ and 60^@ respectively.Find the height of the tower.

The angles of depression of two consecutive kilometer posts on a straight road as seen from an aeroplane above it are alpha and beta(alpha>beta) .Find the height of the aeroplane above the road.

If the angle of elevation of a cloud from a point h metre above the lake is alpha and the angle of depression of its reflection in the lake is beta , prove that the height of the cloud above the lake is (h(tan beta+tan alpha))/(tan beta- tan alpha)

A man is standing on the deck of a ship which is 25m above water level. He observes the angles of elevation of the top of a lighthouse as 60° and the angle of depression of the base of light house as 45°.Calculate the height of the light house.

The angle of elevation of the top of a tower from a point on the ground,which is 30m away from the foot of the tower,is 30^@ .Find the height of the tower.

From the top of a building 100m high ,the angle of depression of the top and bottom of a tower observed to be 45° and 60° respectively. Find the height of the tower. Also find the distance between the foot of the building.

The angle of depression of the top and bottom of a tower are found to be 30^@ and 60^@ respectively when the tower is observed from the top of a hill 100m high.Find the height of the tower.

There are two poles on each on either bank of a river just opposite to each other.One pole is 60m high.From the top of this pole the angles of depression of the top and the foot of the other pole are 30° and 60° respectively. Find the width of the river and the height of the other pole.