- 100 ft – >|< 100 ft- 50 ft

Q: A boat storage tent in a parabolic shape has a maximum height of 16 feet and a span of 16 feet. See…

A:

Q: To form an ellipse, what is the relationship between the base of the cone and the angle of the plane…

A: We can answer the question as below.

Q: A fireplace arch must be constructed in the shape of a semi-ellipse. The opening must be 60 cm high…

A:

Q: A lamp has the shape of a parabola when viewed from the side. The light source (which is at the…

A: Given : The light source is 4 cm from the bottom of the lamp

Q: The cable of a suspension bridge hang in the shape of parabola the tower supporting the cable or 400…

A:

Q: An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a…

A: According to the given problem we haveWe need to find the height h of the arch which is 5 meters…

Q: The towers of the Golden Gate Bridge connecting San Francisco to Marin County are 1280 meters apart…

A: Given: The towers of the Golden Gate Bridge connecting San Francisco to Marine Country are 1280…

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: The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers…

A:

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

A:

Q: A sculpture has a hyperbolic cross section with height of 24 feet as seen in the figure. Write an…

A: The solution is given below in the next step:

Q: An artist bends a long plank of wood into the shape of a parabola. The horizontal distance between…

A:

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: Explanation: Suppose the center of the bridge is the origin of the coordinate system. Then the…

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

A: Consider the following figure:

Q: The transverse axis of a hyperbola is 8 and the distance between foci is 12. Find the length of the…

A: The length of the transverse axis of a hyperbola is 8. It is known that the length of transverse…

Q: 2. The arch of a bridge is in the shape of a semi ellipse having a horizontal span of 40 meters and…

A: To find the height at the required value then you should have the equation of the ellipse.

Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…

A: Given, a gateway  is a parabolic shape whose vertex  is 20 ft. From the ground, (0, 20), and the…

Q: 24. If a pebble is dropped into a pond in the shape of an ellipse at the location of one focus, the…

A:

Q: A parabolic arch forms a structure that allows equal vertical loading along its length. 200 ft (40,…

A: (a)

Q: A satellite dish has the shape of a parabola when viewed from the side. The dish is 60 inches wide…

A: let assume the equation of parabola is   y=ax2+bx+c

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

A:

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

A: A parabola is a type of curve which where the distance of any point of the curve is same from one…

Q: 5. From the Edmund Scientific catalog you can buy a parabolic microphone that will "pull in voices…

A:

Q: A lithotripter is used to disintegrate kidney stones. The patient is placed within an elliptical…

A: We have to find the distance between the electrode and the kidney stone in order to shatter the…

Q: A certain bridge arch is in the shape of half an ellipse 134 feet wide and 34.6 feet high. At what…

A:

Q: A quarterback can throw a football in a perfect parabolic arc to a receiver 40 yards downfield. •…

A:

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: It is given that, the distance between the towers is 1200 meters and the height of the towers is 60…

Q: An engineer designs a cable of suspension bridge that hangs in the form of a parabola, the towers…

A:

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: Basaltic columns are geological formations that result from rapidly cooling lava. The Giant's…

A:

Q: The giant satellite dish in the figure shown is in the shape of a parabolic surface. Signals strike…

A: Given:  The diameter of the dish is 300 feet and its depth is 44 feet.     To find:      The…

Q: An arch 18 m high has the form of parabola with a vertical axis. The length of a horizontal beam…

A: Given: An arch 18m high has the form of parabola with a vertical axis. The length of a horizontal…

Q: A rotating sprinkler head with a range of 50 feet is to be placed in the center of a rectangular…

A:

Q: The cables of a suspended-deck suspension bridge are in the shape of a parabola. The pillars…

A: Here we us ethe standard form of the parabola vertex at (h,k) is  (x- h)2 =4a(y-k)

Q: A lamp has the shape of a parabola when viewed from the side. The light source (which is at the…

A: We are entitled to solve only 1 question at a time so I am providing you the same. Kindly repost the…

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 window is constructed with the top half of an ellipse on top of a square. The square portion of…

A: Let the centre of the ellipse is situated on the origin. And lenght of the major and minor axis of…

Q: 4. A parabolic arch has a span of 20 m and a height of 10 m. How high is the arch 4 m from the…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

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

A: How far from the vertex should the light bulb be placed?

Q: A football is kicked from the ground 70 yards along a parabolic path. The maximum height of the ball…

A: Find the height of ball 5 yards before it hits the ground.Consider, x-axis be the yards and y- axis…

Q: A satellite dish has the shape of a parabola when viewed from the side. The receiver (which is at…

A:

Q: A suspension bridge with weight uniformly distributed along its length has twin towers that extend…

A: If you like the solution then please give it a thumbs up.. The Answer is:      Result  = 18.75…

Q: 3A parabolic arch has a height of 24 meters and a width of 32 meters at the base. If the vertex the…

A: according to our guideline we are supposed Answer only the first question if you want any particular…

Q: What is the height of the cable at a point 200 feet

A:

Q: The cables of a suspended-deck suspension bridge are in the shape of a parabola. The pillars…

A: Given: The cables of a suspended-deck suspension bridge are in the shape of a parabola. The pillars…

Q: The pitcher is 20 feet away in front of Janiah and the pitcher is only able to reach up to 8 feet…

A: Given that, Janiah can throw a softball in a perfect parabolic arc Pitcher is 20 feet away in front…

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: A bridge is built in the shape of semielliptical arch. It has a span of 112 feet. The height of the…

A: Let the equation of the ellipse is x2a2+y2b2=1 Here, span of arc is 112 feet ⇒2a=112 ⇒a=56…

Q: A window is constructed with the top half of an ellipse on top of a square. The square portion of…

A: The base of the window is 44 in The height of window is 60 in From the center at base is 15 inches…

Q: Archway An archway is the upper half of an ellipseand has a height of 20 feet and a width of 50…

A: An archway is the upper half of an ellipse and has a height of 20 feet and a width of 50 feet.Can 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.