In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50 centimeters tall and 90 centimeters wide. Where should the filament be placed in the searchlight to achieve the brightest beam

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

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Q: The vertical ends of a cylindrical tank are in the form of ellipses with major and minor axes of…

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

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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 bridge has a parabolic arch that is 10m high in the centre and 30m wide at the bottom. Find the…

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

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Q: find out at what angle the upper trusses of an isosceles triangular roof chair must be sawn when the…

A: find out at what angle the upper trusses of an isosceles triangular roof chair must be sawn when the…

Q: A satellite dish is in the shape of a parabolic surface has a diameter of 20 feet. If the receiver…

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

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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 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: Given the geometric solid figure, describe the two-dimensional figure that is created by the cross…

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Q: The area of an ellipse is 301.593 and its perimeter is 64.076. Compute the length of the latus…

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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: The reflector of a flashlight is in the shape of a parabolic surface.The casting has a diameter of 4…

A: to find the vertex.

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

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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: An object is 24 centimeters from the center of a silvered spherical glass Christmas tree ornament…

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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 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 cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. It is…

A: Given: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. To…

Q: A church spire in the form of a regular hexagonal pyramid whose base edge is 8 ft and whose altitude…

A: if in a right angle triangle length of hypotenuse = h length of base = b length of perpendicular = l…

Q: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: Given that, each side of octagonal floor is 10 ft, length of the apothem is 12 ft and the lateral…

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 satellite dish has a shape called paraboloid, where each cross section is parabola. Since the…

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Q: spherical storage tank holds 40,000 gallons (120,000 liters) of water, what diameter must it have?

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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: The foyer planned as an addition to an existing church is designed as a regular octagonal pyramid.…

A: From given, each side of the octagonal floor is 10 ft and length of apothem is 12 ft. Lateral area…

Q: The Transamerica building is located in San Francisco, California. Which geometric solid would best…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: A bridge has a parabolic arch that is 60 ft high in the center and 100 ft wide at the bottom. Find…

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Q: The ends of a rope are held in place at the top of two posts, 9 m apart and each one 8 m high. If…

A: Solution : -      In the problem above, we assume that 8m is our y or the lowest point of the…

Q: An old, elliptical arch bridge is built across a one-lane highway. The arch is 20 feet across and…

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Q: What is the shape of the horizontal cross section of this solid figure?

A: The given figure is a triangular prism.

Q: The hypotenuse of a right triangie measures 18 cm and one of its legs measures 7 cm. Find the…

A:

Q: A one-way road passes under an overpass in the shape of half an ellipse, 15 ft high at the center…

A: NOTE: Refresh your page if you can't see any equations. .

Q: A whispering gallery has semmielliptical ceiling that is 9m and 30m.How high is the ceiling above…

A: A whispering gallery has semielliptical ceiling that is 9m high and 30m long. Since the height is…

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: The wheels of a bicycle have radius 15 cm and are rotating at 140 rpm. Find the  speed of the bike…

A: We know,

Q: A cylindrical glass 5 inches in diameter and 8 inches in altitude is filled with iced tea. It is…

A:

Q: A standard tennis ball has a diameter of 2.625 inches. The watson tennis ball corporation wants its…

A: Diameter, D  = 2.625 inchesRadius = R = D / 2 = 2.625 / 2 = 1.3125 inchesLength of the label =…

Q: Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base…

A: Given that:

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 model of a pyramid has a hexagonal base with sides of 8 inches and a height of 15 inches.…

A: Given that the sides of a hexagonal pyramid is  a = 8 inches Height of the prism h = 15 inches

Q: The cage containing exotic birds is in the shape of a hexagonal prism. If the side length is 12 ft,…

A: The answer is found in step-2

Q: A satellite dish is shaped like a paraboloid, with the receiver placed at the focus. It is to have a…

A: The base of the dish is the vertex of the parabola. The parabola is upward oriented. Let the vertex…

Q: A railroad rail is I kilometer long and it expands on a hot day 10 centimeters in length.…

A: To find the height of the centre of the rail rise above the ground.

Q: A big room is constructed so that the ceiling is a dome that is semielliptical in shape. If a person…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.