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`

Find the angle of depression of a boat from the bridge at a horizontal distance of 25 m from the bridge, if the height of the bridge is 25sqrt3 m____

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.

A girl of height 90cm is walking away from the foot of a lamp-post at a speed of 1.2m//sec . If the lamp is at a height of 3.6m from the ground, then the length of the shadow of the girl after 4 sec is

Find the distance of the z-axis from the image of the point M(2-3,3) in the plane x-2y-z+1=0.

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.

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 ?

At a distance 2h m from the foot of a tower of height h m the top of the tower and a pole at the top of the tower subtend equal angles. Prove that the height of the pole should be (5h)/(3) m.

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 ?

Coefficient of restitution between a ball and a horizontal floor is e=1/2 . If the ball falls from a height of 10 m , after its impact with the floor, the ball rebounces up to a height of ………. [Fill in the blank]

A mass of 60 g remains attached to the end of a thread of length 4 m. The mass is rotated uniformly in a horizontal circular path. The plane of this circular path is at a vertical distance of 3.2 m from the upper end of the thread. Determine the tension in the thread and the time period of revolution of the mass.