Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between the feet of the poles is 12 m, find the distance between their tops.

Two poles of height 10 m and 15 m stand vertically on a plane ground. If the distance between their feet is 5sqrt3 m , find the distance between their tops.

If the distance between (x,6) and (2,-2) is 10. Find x.

As observed from the top of a 75 m high lighthouse from the sea-level,the angles of depression of two ships are 30^@ and 45^@ .If one ship is exactly behind the other on the same side of the lighthouse,find the distance between the two ships.

Find the distance between the line 12x-5y+9=0 and the point (2,1).

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

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.

A beam of light consisting of two wavelengths 6500 A ˙ and 5200 A ˙ is used to obtain fringes in a Young's double slit experiment.Find the distance of the third bright fringe on the screen from central maximum for the wavelength 6500 A. The distance between the slits is 2mm and the distance between the plane of the slits and the screen is 120 cm

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.

Two poles of equal heights are standing opposite to each other on either side of the road which is 80m wide. From a point between them on the road the angles of elevation of the top of the poles are 60° and 30° respectively. Find the height of the poles .

From a point which is 200sqrt2 m away from the base of a temple the angle of elevation of the top of the temple is 45^@ .Find the height of the temple and the slanting distance between the top of the temple and the point.