Two pillars stand on a horizontal plane. A and B are two points on the line joining the bases of the pillars. The angles of elevation of the tops of the pillars as seen from Aare 30⁰ and 60⁰ and as seen from B are 60⁰ and 45⁰. If the length of AB is 30 mt, the heights of the pillars and the distance between them are

An aeroplane flying at a height of 300 metres above the ground passes vertically above another plane at an instant when the angles of elevation of two planes from the same point on the ground are 60⁰ and 45⁰ respectively. The height of the lower plane from the ground is

The angle of the elevation of the top of a tower is 450 from a point 10 mt above the water level of a lake. The angle of depression of its image in the lake is 600. The height of the tower is

A person standing on the bank of a river observes that the angle of elevation of the angle of elevation of the top of a tree on the opposite bank of river is 60⁰ and when he retires 40 meters away from the tree then the angle of elevation becomes 30⁰, the breadth of river is

A church tower AB standing on a level plane is surmounted by a spire BC of the same height as the tower. D is a point in AB such that AD=1/3AB. At a point on the plane 100 mt from the foot of the tower, the angles subtended by AD and BC are equal. The height of the tower is

Two pillars of equal height stand at a distance of 100 mt. At a point between them, the elevations of their tops are found to be 30⁰ and 60⁰. The height of the pillars and the position of the point of observation are

The elevation of an object on a hill is observed from a certain point in the horizontal plane through its base, to be 30⁰. After walking 120 metres towards it on level ground the elevation is found to be 60⁰. Then the height of the object (in metres) is :

A man observes a tower AB of height h from a point P on the ground. He moves a distance ‘d’ towards the foot of the tower and finds that the angle of elevation is doubled. He further moves a distance 3d/4 in the same direction and the angle of elevation is three times that at P. Then 36h²=

At the foot of a mountain the angle of elevation of a summit is found to be 45⁰. After ascending 1 km towards the mountain up, a slope of inclination 30⁰, the angle of elevation is found to be 60⁰. The height of the mountain is

From the foot of a tower 220 m high the angle of elevation of the top of a hill is 60⁰ and from the top of the tower the angle of depression of the top of the hill is 300. The height of the hill and the distance between them are