A bridge is built in the shape of semielliptical arch. It has a span of 112 feet. The height of the arch 29 feet from the center is to be 5 feet. Find the height of the arch at its center.

Q: A one-way road passes under an overpass in the shape of half an ellipse, 25 ft high at the center…

A:

Q: Write the equation of Spheres with radius R.

A:

Q: A car's windshield is isosceles trapezoid in shape. The median is 5.5 ft and one of its legs…

A:

Q: Find the equation in rectangular coordinates of the quadric surfaceconsisting of the two cones φ =…

A: The relation between spherical and rectangular coordinates in polar form is given by the following…

Q: The chord of a parabolic arch is 10 cm and is 12 cm from the vertex. Calculate the perimeter of the…

A: The formula for perimeter of parabola is P=12b2+16a2+b28aln4a+b2+16a2b, where a is the distance of…

Q: A flashlight shaped like a parabloid has its light source at the focus located 1.5 cm from the base…

A: Given that a flashlight shaped like parabloid  has its light source at the focus located 1.5cm from…

Q: A radio telescope has a parabolic surface. If it is 9 m deep and 12 m wide, how far is the focus…

A:

Q: Two friends visit a whispering gallery (in the shape of a semiellipsoid) where they stand 100m apart…

A:

Q: The arch of St. Louis is in the form of a parabola with base width( foundation to foundation…

A: The arch of St. Louis is in the form of a parabola with base width (foundation to foundation…

Q: The longest span of the Brooklyn Bridge is suspended from cables supported by two towers…

A: Let the leftmost tower is at the origin of the graph, then according to the given information, the…

Q: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100 feet.The…

A: Given: A bridge is to be built in the shape of a semielliptical arch and is to have a span of 100…

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 208 feet.…

A:

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

Q: Two children weighing 44 pounds and 76 pounds are going to play on a seesaw that is 10 feet long.…

A: Solution

Q: A cooling tower, such as the one shown in the figure, is a hyperbolic structure. Suppose its base…

A: Let the tower be a hyperbola centered at the origin as shown in the figure. Since the lowest…

Q: Jim, standing at one focus of a whispering gallery,is 6 feet from the nearest wall.His friend is…

A: Given: Jim is standing at the focus of a whimpering gallery is 6 feet. His friend is standing at the…

Q: An arch is in the form of a semi-ellipse that has a span of 250 ft and with the greatest height of…

A: The equation of an ellipse is x2a2+y2b2=1. Here, 2a is the length of the major axis, and 2b is the…

Q: Find the height of the bridge over the river exactly 25 feet from the center of the river.

A:

Q: The cables of the middle part of a suspension bridge are in the form of a parabola, and the towers…

A: Explained below

Q: The base of an object is an ellipse with axis lengths of 10 cm and 8 cm.Since the intersection of…

A: Given that: The base of an object is an ellipse with axis lengths of 10 cm and 8 cm.Since the…

Q: A suspension bridge has twin towers that are 1300 feet apart. Each tower extends 180 feet above the…

A: We have to find  the height of the cable at a point 200 feet from the center of the bridge.

Q: You are given a rectangular piece of paper that has length x=35.4x=35.4 cm and height y=28y=28 cm.…

A:

Q: 2. A trucking company needs to determine whether a house trailer will fit that has an opening shaped…

A: In this question we will use basic of calculus i.e concept of parabolic curve. We will first find…

Q: A truck has to pass under an overhead parabolic arch bridge which has a span of 20 meters and is 16…

A: Given,           A truck has to pass under an overhead parabolic arc bridge which has a span of 20…

Q: A mirror is shaped like a paraboloid of revolution and will be used to concentrate the rays of the…

A: It is given that The cross-section is a parabola. Let the vertex of the parabola be at the origin of…

Q: A semi elliptical archway over a one-way road has a height of 10ft and a width of 40ft. Your truck…

A: Given: Height of semi elliptical archway = 10 ft Width of semi elliptical archway = 40 ft Width of…

Q: What is shape of the horizontal cross-section of this TRIANGULAR PYRAMID? *

A: Given figure is a triangular pyramid therefore the horizontal cross - section is a triangle.

Q: A searchlight is shaped like a paraboloid of revolution.If the light source is located 2 feet from…

A: draw the parabola used to form the searchlight on a rectangular coordinate system so that the vertex…

Q: The middle span of the Golden Gate Bridge in San Francisco is supported by cables from two towers…

A: Given:The middle span of the Golden Gate Bridge in San Francisco is supported by cables from two…

Q: Find the surface of a square pyramid with side length 2 m and slant height 2 m

A: A pyramid that has a  square base is said to be a square pyramid. The surface area of the square…

Q: What is the equation of the sphere whose center is at (0, -3, 8) and with a radius of 5? Select the

A:

Q: A stationary artist intends to make rectangular cut-outs from the elliptical cardboard that he has.…

A:

Q: The lengths of the major and minor axes of an ellipse are 10 m and 8 m, respectively. What is the…

A: Topic  =Geometry

Q: What is the shape of the vertical cross section of this solid figure that does not pass through the…

A: Topic:- cutting of surface

Q: The towers of a 60 meter parabolic suspension bridge are 15 m high  and the lowest point of the…

A: Topic name-  use of parabolic formulas  in practical design

Q: A bridge was built in the shape of a semi-elliptical arch, with span of 210 feet and maximal height…

A: Given that a bridge which is in semi-elliptical shape and span of 210 feet and maximum height 75…

Q: A searchlight is shaped like a paraboloid of revolution. If the light source is located 4 feet from…

A: Given: A search light is shaped like a paraboloid of revolution. If the light source is located 4…

Q: A horizontal trough is 16m and its ends are isosceles trapezoids with an altitude of 4m, a lower…

A:

Q: A 24 meter long tension wire is tied firmly between two vertical poles with identical height of 5…

A: To Find:a) Write an equation of the parabola.b)How far is the center of the beam to the wire's 1 cm…

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 136 meters.…

A:

Q: The roof of a tunnel is a semi-deck, if the tunnel is 100 m wide and the maximum height from floor…

A:

Q: Find equations for the sphere whose center and radius is given in center(0,-7,0) radius 7

A: General equation of sphere is given by:

Q: An arch is in the form of a semiellipse is 52 feet wide at the base and has a height of 20 feet. How…

A:

Q: The cable of a suspension bridge is in the form of a parabola. The towers supporting the cable are…

A: Given that The cable of a suspension bridge is in the form of a parabola. The towers supporting the…

Q: 3. An arch in the form of semi – ellipse is 50 feet wide at the base and has a height of 16 feet.…

A: In this question, we need to find how wide is the arch at a height of 8 feet above the base.

Q: A bridge is to be built in the shape of a semi-elliptical arch and is to have a span of 260 meters.…

A:

Q: What are the coordinates of the highest point where the circular cylinder intersects the Elliptical…

A: We will use lagranges multiplier theorem to find heighest point

Q: The diagram below shows a right square pyramid with a base that is 6 centimeters (cm) on each side.…

A: Volume of pyramid

Q: Find the coorfinates of the foci, length of the transverse and conjugate axis: 16x2 - 25y2 = 400

A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.