`AB=h_1 and CD=h_2` are two towers where `h_1>h_2`.The angles of depression from the vertex of AB to the vertex and the base of CD are respectively `30^@` and `60^@`.If `h_1=60m`,find the distance between the two towers.Also show that `h_1-h_2=20m`.

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.

Find the Value of Deltae^x .Given,h=1.

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 horizontal distance between the building and the lamp post.

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.

The masses of two bodies are m_1 and m_2 the distance between them is d. What is the gravitational force between them?

The distance between two poles of the same height standing on the same plane is 100m.The angles of elevation of the tops of the two poles from a point lying on the line joining the base-points of the poles are found to be 30^@ and 60^@ respectively.Find the heights of the poles and the position of the point.

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 .

If f(x) = 2^x then find the value of Delta2^x , for x= 2 and h= 1.

P and Q are respectively the base and the vertex of the tower PQ.AB is another tower which is at a certain distance apart from PQ.The height of AB is less than that of PQ and the base of AB is A.The angles of elevation of Q from A and B are respectively 60^@ and 45^@ .If AB=40m,find PQ,QA and QB.