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 the rope assumes a parabolic shape and touches the ground midway between the two posts, how high is the rope 2 m from one of the posts?

Q: Suppose you are standing such that a 49-foot tree is directly between you and the sun. If you are…

A: Suppose you are standing such that a 49-foot tree is directly between you and the sun. If you are…

Q: The height of a 818 ft³ storage bin in the form of a frustum of a rectangular pyramid is 6 ft. What…

A: Here given  The height of a 818 ft³ storage bin in the form of a frustum of a rectangular pyramid is…

Q: Suppose you are standing such that a 36-foot tree is directly between you and the sun. If you are…

A: NOTE: Refresh your page if you can't see any equations. . here we have AD=10 BD=50 AB=60 BC=60 DE=x

Q: How far away from the base of the house must the ramp be placed?

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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 tunnel has the shape of a semiellipse that is 15 ft high at the center, and 36 ft across at the…

A:

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…

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: In order to kill a bird 20m up in the air, a boy uses his catapult to shoot a pebble vertically…

A: given that  bird is at h=20m up in the air. a boy uses his catapult to shoot a pebble vertically…

Q: Two vertical poles, 20m and 80m tall respectively, stand apart on a horizontal plane. Join the top…

A:

Q: A cylinder and a cone, each with 9-m radii and 5-m heights Are the shapes similar? If the shape are…

A: A cylinder and a cone, each with 9-m radii and 5-m heights

Q: How far from its center should a grapefruit with a 5-inch diameter be sliced in order that both…

A: We have given

Q: A buliding facade is in the shape of a semlellipse, with the major axis as the span. If the span is…

A:

Q: In a factory, a parabolic mirror to be used in a searchlight was placed on the floor. It measured 50…

A: It is known that the equation of a parabola is given by y2=±4ax when the parabola opens to the left…

Q: A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

A: Given:A hexagonal prism has a height of 6 units and a regular hexagonal base with a side length of 4…

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: If a bicycle has 26-inch diameter wheels, the front chain drive has a radius of 4 inches, and the…

A: Given that the diameter of a wheel 26 inch, the front chain drive radius is 4 inches and back drive…

Q: A regular hexagonal pyramid has a base whose sides are of length 6 V3 in. each. If the slant height…

A: Sketch the regular hexagonal pyramid as shown the below.

Q: Two transmission towers 40ft high is 200ft apart. If the lowest point        of the cable 10ft…

A: We will draw the diagram and then find equation of cable ,  Note : All freely suspended cable/wire…

Q: A semielliptic archway has a height of 15 feet at the center and a width of 50 feet. The 50 foot…

A: Given that the semi elliptic archway of height of 15 feet at the centre and the width of 50 feet,…

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

A: please see the next step for solution

Q: A window consists of a rectangle surmounted by a semicircle. If the perimeter of the window is 32…

A: Given is the window consists of a rectangle surmounted by a semicircle of perimeter 32ft. Consider…

Q: A

A:

Q: A regular square pyramid has a height of 8m. If the slant height makes an angle at 45 degrees with…

A:

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 sum of the radii of the bases of a frustum of a cone is 7 cm. If it has an altitude of 6 cm and…

A:

Q: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r^3 oz of water when it is…

A: A parabolic goblet with a cup that is as wide as it is tall holds 1.74r3 oz of water when it is…

Q: A Baguio City Road is inclined to 20° to the horizontal. If a man jogs 500 m along this road, how…

A:

Q: The arm of a Ferris wheel starting from the center to its passenger seat has a length of 80 ft. How…

A: Topic - circles

Q: The lower edge of a mural, 12 feet high, is 6 feet above the observer's eyes. Under the assumption…

A:

Q: A cone-shaped block has a slant height of 6 inches and has a radius of 4 inches. What is the minimum…

A: we use formula   surface Area of cone =  πrl + πr2

Q: What kind of shape is created from the cross section seen here on the square pyramid?

A: A cross section is the shape we get when cutting straight through an object. The examples for…

Q: A pole 25 feet long is carried horizontally along a corridor 15 feet wide and into a secon corridor…

A:

Q: If there are 1; cu. ft. in a bushel, what is the capacity (in bushels) of a hopper in the shape of…

A: Given query is to find the capacity of hopper .

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

A:

Q: A gabled roof is to be built on a house that is 30 feet wide so that the roof rises at a pitch of…

A: Given :     A gabled roof is to be built on a house that is 30 feet wide so that the roof rises…

Q: What where the contributions that Euclid made to Geometry?

A: topic - Euclid's  geometry

Q: A road under the parabolic arch is 39 ft wide, and the maximum height of the arch is 17.4 ft. How…

A:

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: A tank is in the form of an inverted regular pyramid with a square base 3m on a side and an altitude…

A: Now , we have a pyramid shaped tank .  We need to find how many liters of water is in the tank when…

Q: A parabolic shaped radio transmitter has a diameter of 21 inches. If the signal-emitter (focus) is…

A: Given  Diameter of parabolic shaped radio transmitter = 21 inch  focus = 18 inch

Q: The cables of a horizontal suspension bridge are supported from two towers 40 ft high and 150 ft…

A:

Q: a 11 foot ladder is placed against a vertical wall of a building. with the buttom of the ladder…

A:

Q: Suppose you filla conical paper cup with a height of 6" with water. If all the water is then poured…

A: Given, height of cone= 6 inches

Q: A drawbridge the is 104 feet in length is raised at its midpoint so that the uppermost points are 8…

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Q: Assuming that the (square) base of this building has a side length of 646 feet and that the pyramid…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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.