3. The towers supporting the cable of a suspension bridge are 1200 m apart and 170 m above the bridge it supports. Suppose the cable hangs, following the shape of a parabola, with its lowest point 20 m above the bridge. How high is 4 the cable 120 m away from a tower?

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: As arch is in the form of parabola with its axis vertical. The arch is 10m high and 5 at the base.…

A: Topic:- application of geometry

Q: What is the length of the latus rectum (LR) of the parabola y = -÷(x – 2)“ + 5?

A:

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

A:

Q: For a paraboloid with two sheets, how do you find the shortest distance between the sheets in a…

A:

Q: The base of the rectangular pyramid shown above has one side that measures 5 inches, one side that…

A: To determine the area of the vertical cross-section of the pyramid that is parallel to longer side…

Q: What is the height of a regular right pyramid if thw base is an octagon with edges 10 cm each and…

A: It is given that, the edge of the octagon is 10 cm Since the total angle of the octagon is 360°…

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: A statue 3m high is standing on a base of 4m high. if an observer's eye is 1.5m above the ground,…

A:

Q: 2.) %3 %23 a.) Give the most specific name for the quadrilateral b.) How do you know? What…

A: A polygon with four sides is a quadrilateral. There are different kinds of quadrilaterals. Each…

Q: and

A:

Q: 2. Parabola with x+1= 0 as the directrix, y = 1 as the axis, and the length of the latus rectum is…

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

Q: A straight wire 50cm long is bent into the shape of an L.  What is the shortest possible distance…

A: Suppose the wire bent into the shape of  L  be the right triangle ∆PQR with QR=x cm,  PQ=50-x cm By…

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: 2) The design commonly used in one residential community is of majestic doors and windows. In this…

A: For relative maximum or minimum To maximize or minimize  a function f(x) 1st we need to find its…

Q: 4. What is the axis of symmetry of the parabola y = x = 7 x= -14 y = 28 Ox=28 O x²14x+28?

A:

Q: A box-shaped observation terrarium is to be constructed where: the base, left, and right sides of…

A: The sheet of metal starts with the dimensions 8 meters front-to-back by 7 meters left-to-right The…

Q: 3. Find the dimension of the largest rectangle (in terms of area) that can be inscribed in a circle…

A:

Q: A cuboidal box of dimension 1 m * 2m * 1.5 m is to painted except its bottom . Calculate how much…

A:

Q: A cuboidal box of dimension 1 m * 2m * 1.5m is to be painted except its bottom .Calculate how much…

A: Given, A cuboidal box of dimension 1m×2m×1.5 m is to be painted expected its bottom  . we have to…

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: Given the parabola x^2=4y, a line passes through point A (4,4) and the focus of the parabola. Find…

A: Topic:- Parabola

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: A parabola with a negative latus rectum has endpoints at (5, 1) and (5, -11) Where is the vertex? *

A:

Q: A rectangular object 25 m wide is to pass under a parabolic arch that has a width of 32 m at the…

A: The arch can be modeled by the vertex form of a parabola centered at the origin with the base being…

Q: In the comer of a cellar is a pyramidal heap of coal. The base of the heap is an isosceles right…

A:

Q: Given the point P =,(a,b) in the first quadrant, find the downward-opening parabola that passes…

A:

Q: A regular triangular pyramid, the length of its edge is 3, the height of the pyramid?

A: given length of edge=3 let s=3 height(h)=s23

Q: Find the point on the parabola y=x^2 that is closest to the point (6,3) what is the distance between…

A: Given: To find the point on the parabola y=x2 that is closest to the point (6,3) what is the…

Q: The distance between the vertex and the focus of a parabola is called the __________ length and is…

A: First of all, consider the definition of the vertex and the focus of a parabola.The vertex of…

Q: What value represents the approximate length of x, the distance from the center of the octagon to…

A: Answer is mentioned below

Q: 21. A parabola has a span of 30 m and a height of 20 m. Determine its area.

A: We know that if b is the span of parabola and h is its height then area of parabola =23bh We are…

Q: Q,9. What point on the parabola y = v2x + 5 comes closest to the ori

A:

Q: A pyramid with a square base area of 100 square inches has its height cut in half, resulting in a…

A: The base area of the given square pyramid is 100 square inches. Then the side of the base of the…

Q: Determine the coordinates of points A and B on a parabola y midpoint of AB is as close as possible…

A:

Q: 8. If the volume of the cuboid 350 cubic cm, fength = 10 cm ànd breadth = 5 cm. Then %3D %3D find…

A: We have to find the height of the cuboid where the volume, length and breadth are given.

Q: The filament lightbulb is a thin wire that glows when electricity passes through it. The filament of…

A: Given: The given reflector is 7 inches wide and 2 inches deep i.e. (x,y)=(2,3.5)

Q: Show the figure or model of a rectangular object 25 m wide is to pass under a parabolic arch that…

A: given that Parabolic arch has a width 32m at the base and height 24m at the center Vertex of…

Q: The parabola y=x^2y=x2y, equals, x, squared is shifted up by 777 units and to the left by 111 unit.…

A:

Q: Find the length of the latus rectum of the parabola x2 = 4py. Then find the length of the parabolic…

A: Given , Equation of parabola  x2 = 4py     Comparing with the Standard Equation of Parabola  x2=4ay…

Q: Suppose that we are given a cube with edges 12 centimeters in length. Find the length of a diagonal…

A: The length of a cube l=12 cm. The breadth of a cube b=12 cm. The height of a cube h=12 cm. Consider…

Q: if the hypotenuse of a right triangle is 25, show that the area is a maximum of it is isosceles

A:

Q: If x = 15.5 cm. and z = 23.8 cm., then the LATERAL AREA of the square based pyramid is _____cm2.…

A: The answer is found in step-2

Q: The parabolic antenna has an equation of y^2 + 8x = 0. Determine the length of the latus rectum.

A: Here we use the standard form of parabola.

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: A cable durpended between two Do po has a Jag of 1. 20 meters apart a form of a parabola, find its…

A: The distance between the pole = 20 m and the sag of 112 m=32 m. We have to find the equation of the…

Q: What is the Axis of Symmetry of the parabola represented by y = - = -x² – 3x + 7? O x = 3 O x = -3 O…

A: The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent…

Q: If we have a parabola with an axis of symmetry of x = 9 and it contains the point (-3, -12), what…

A: Given taht parabola is symmetric about the line x= 9

Q: A parabolically shaped bookshelf has a width of 14 feet 8 inches at the top and height 8 ft. 4 in..…

A: Consider the given information as, width=14feet  8 inches and height =8ft 4 in

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.