Home
Class 11
MATHS
An arch is in the from of a semi - ellip...

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.

Text Solution

Verified by Experts

The correct Answer is:
`1.56` m (approx.)
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    NCERT GUJARATI|Exercise Exercise 11.4|15 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISES ON CHAPTER 24|1 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT GUJARATI|Exercise MISCELLANEOUS EXERCISE|6 Videos

Similar Questions

Explore conceptually related problems

An arch is in the form of a semi - ellipse. If 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 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 ?

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

A heap of wheat is in the form of a cone whose diameter is 10.5 m and height is 3 m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.

A tent is in the slape of a cylinder surmounted by a conical top If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively and the slant height of the top is 2.8 m. find the area of the canvas used for making the tent. Find the cost of the canvas of the tent at the rate of 500 per m^2 .

A particle is projected with a velocity 10 m/s at an angle 37^(@) to the horizontal. Find the location at which the particle is at a height 1 m from point of projection.

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.

Two poles of equal heights are standing opposite each other on either side of the road, which is 80m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60^(@) and 30^(@) , respectively. Find the height of the poles and the distances of the point from the poles.

A conical tent is 10 m high and the radius of its base is 24 m. Find (i) slant height of the tent. (ii) Cost of the canvas required to make the tent, if the cost of 1 m^(2) canvas is Rs. 70

A cuboidal pit measuring 5 m times 5 m times 20 m is dug and the earth removed from it is spread evenly on a rectangular plot measuring 50 m times 40 m. Find the height of the earth spread on the plot.