An arch is in the from of a semi - ellipse. It is `8` m wide and `2` m high at the centre. Find the height of the arch at a point `1.5` m from one end.

An arch is in the from of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola ?

An arch is in the form of a parabola with its axis vertical. The arch is 10 m high and 5 m wide at the base. How wide is it 2 m from the vertex of the parabola ?

An arc of a bridge is semi-elliptical with the major axis horizontal. If the length of the base is 9m and the highest part of the bridge is 3m from the horizontal, then prove that the best approximation of the height of the acr 2 m from the center of the base is 8/3mdot

From the foot of a 60m high tower the angle of elevation of a minar is 60^@ and from the top, it is 30^@ . Find the height of the minar.

The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m, find the height of the tower from the base of the tower and in the same straight line with it are complementary.

Two particles of masses 1 kg and 2 kg are positioned on x-and y-axes at distances of 1 m and 2 m from the origin respectively. Find the position of the centre of mass of the system.

A person travels from a place firstly 24m west and then 10 m north. Then the distance of the person from the starting point will be

A 1.5m tall boy stands at a distance of 3m from a lamp post and casts a shadow of 4.5m on the ground. Find the height of the lamp.

A tennis ball, thrown horizontally from a height of 2m , lands after covering a horizontal distance of 20 m . On its way, the ball just touches a net 14 m from the projection point (distance measered horizontally ). Find the height of the net from the ground.