The girder of a railway bridge is a parabola with its vertex at the highest point, 10 metres above the ends. If the span is 100 metres, find its height at 20 metres from the midpoint.

The upper part of a tree broken over by the wind makes an angle of 60^(@) with the ground and the horizontal distance from the foot of the tree to the point where the top of the tree meets the ground is 10 metres. Find the height of the tree before broken.

The length of a rectangular park exceeds its breadth by 17 metres. If the perimeter of the park is 178 metres, find the dimensions of the park.

The perimeter of a rectangular field is 216 metres and its breadth is 40 metres . Find the length and area of the rectangle.

The perimeter of a square plot of land is 144 metres . Find its area.

A balloon is observed simultaneously from three points A, B and C on a straight road directly under it. The angular elevation at B is twice and at C is thrice that at A . If the distance between A and B is 200 metres and the distance between B and C is 100 metres, then find the height of balloon above the road.

The total cost of flooring a room at Rs. 8.50 per square metre is Rs. 510. If the length of the room is 8 metres, find its breadth.

A tower is 100sqrt(3) metres high. Find the angle of elevation if its top from a point 100 metres away from its foot.

A cylinder is such that the sum of its height and circumference of its base is 10 metres. Find the maximum volume of the cylinder.

The cost of 2 1/3 metres of cloth is Rs 75 1/4dot Find its cost per metre.

The base of a triangular field is 2.4 times its height. If the cost of leveling the field at the rate of rupes 20 per square metre is rupes 9,600 find its base and height.