Home
Class 12
MATHS
IF the distribution of weight is uniform...

IF the distribution of weight is uniform, then the rope of the suspended bridge takes the form of parabola.The height of the supporting towers is 20m, the distance between these towers is 150m and the height of the lowest point of the rope from the road is 3m. Find the equation of the parabolic shape of the rope considering the floor of the parabolic shape of the rope considering the floor of the bridge as X-axis and the axis of the parabola as Y-axis. Find the height of that tower which supports the rope and is at a distance of 30 m from the centre of the road.

Text Solution

Verified by Experts

The correct Answer is:
5.72m
Promotional Banner

Similar Questions

Explore conceptually related problems

The angle of elevation of the top of a tower from a point O on the ground, which is 450 m away from the foot of the tower, is 30^(@) . Find the height of the tower.

The angle of elevation of the top of a tower from a point on the ground, which is 30m away from the foot of the tower, is 30^(@) . Find the height of the tower.

The height of a tower is 200m. When the altitude of the Sun is 30^(@) , the length of its shadow is……….m

The angle of elevation of the top of a tower at a distance 500m from the foot is 30^(@) . Then, the height of the tower is ………m.

A particle is dropped from the top of a tower. It covers 40 m in last 2s. Find the height of the tower.

The angle of elevation of the top of a building from the foot of the tower is 30^(@) and the angle of elevation of the top of the tower from the foot of the building is 60^(@) . If the tower is 50m high, find the height of the building.

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

The angle of elevation of the top of a tower 30m high from the foot of another tower in the same plane is 60^(@) and the angle of elevation of the top the second tower from the foot of the first tower is 30^(@) . Find the distance between the two towers and also find the height of the other tower.

A vertical pole of length 6 m casts a shadow 4 m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.