The cables of a suspension bridge are in the shape of a parabola, as shown in the
Question:
The cables of a suspension bridge are in the shape of a parabola, as shown in the figure. The towers supporting the cable are 600 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height of the cable from the road at a point 150 feet from the center of the bridge?
Transcribed Image Text:
80 ft 150 ft 600 ft
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (12 reviews)
Set up the problem so that the vertex of the parabola is at 0 0 and it opens up Then the equ...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The main cables of a suspension bridge [see part (a) of the figure] follow a curve that is nearly parabolic because the primary load on the cables is the weight of the bridge deck, which is uniform...
-
The cables for the central span of a suspension bridge take the shape of a parabola. If the towers are 800 meters apart and the cables are attached to them at points 400 meters above the floor of the...
-
The main cables of a suspension bridge typically hang in the shape of parallel parabolas on both sides of the roadway. The vertical support cables, labeled a-k, are equally spaced, and the center of...
-
f is continuous, but not necessarily differentiable, has domain [0, 6], reaches a maximum of 6 (attained when x = 5), and a minimum of 2 (attained when x = 3). Additionally, x = 1 and x = 5 are the...
-
The Offshore Investment Fund (OIF) was incorporated in Fairfield, Connecticut, for the sole purpose of allowing U.S. shareholders to invest in Spanish securities. The fund is listed on the New York...
-
In its efforts toward sustainability, an American university campus is replacing paper towel dispensers in restrooms with electric hand dryers based on air drying. Another hand-drying system popular...
-
True or False: If the cost function for producing \(x\) units is \(\operatorname{TC}(x)=700+0.6 x\) and the revenue function is \(\operatorname{TR}(x)=2.0 x\); then the breakeven value is 500 units.
-
The City and County of PreVatte received a state grant for revitalizing its downtown district. The grant of $18,000,000 requires the government to file for reimbursement after incurring qualifying...
-
Following is a trial balance of City of Jeddah's General Fund at December 3 1 , 2 0 2 2 . Prepare: ( a ) a statement of revenues, expenditures, and changes in fund balance for the year ended...
-
There is a separate haircut calculated for each foreign (i.e., non-USD) currency. The first thing we need to do to calculate the haircut on a given currency is to figure out the firm's total exposure...
-
A sealed-beam headlight is in the shape of a paraboloid of revolution. The bulb, which is placed at the focus, is 1 inch from the vertex. If the depth is to be 2 inches, what is the diameter of the...
-
The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable are 400 feet apart and 100 feet high. If the cables are at a height of 10 feet midway between the...
-
Find the discriminant. Use it to determine whether the solutions for each equation are A. Two rational numbers B. One rational number C. Two irrational numbers D. Two nonreal complex numbers. Tell...
-
Two charged spheres on a frictionless horizontal surface are attached to opposite ends of a 3,750 N/m spring & are in static equilibrium. The 45 kg red sphere has more charge than the 13 kg green...
-
Explain how cultural features of diversity in Australia can impact on different areas of work in an early childhood educational context.
-
You are evaluating a project that costs $64,000 today. The project has an inflow of $138,000 in one year and an outflow of $54,000 in two years. What are the IRRs for the project? (A negative...
-
Theoretically, the standard deviation of a portfolio can be reduced to what level? Explain. Realistically, is it possible to reduce the standard deviation to this level? Explain.
-
One of the distinctive features of high performing companies is the importance of human capital. These days all organizations have human resource practices functioning whether formally formed or not....
-
There are six tools that can be used for estimating activity durations in a project. One is Expert Judgement. Pick one of the other five, and describe how it is used. When might you be more likely to...
-
Refer to the data for problem 13-36 regarding Long Beach Pharmaceutical Company. Required: Compute each division's residual income for the year under each of the following assumptions about the...
-
For the following exercises, find the powers of each complex number in polar form. Find z 2 when z = 4cis (/4).
-
For the following exercises, find the magnitude and direction of the vector, 0 < 2. Given u = 3i 4j and v = 2i + 3j, calculate u v.
-
For the following exercises, graph the polar equation. Identify the name of the shape. r = 5 + 7sin
-
Problem 04. A cylindrical tank of radius R is filled to a height h with an ideal fluid of density p. A drain valve at the bottom of the tank with a radius r is opened, calculate how long will it take...
-
At the beginning of the year, you purchased a share of stock for $55. Over the year the dividends paid on the stock were $2.50 per share. a. Calculate the return if the price of the stock at the end...
-
A thin metallic spherical shell of radius 43.6 cm has a total charge of 9.75 C uniformly distributed on it. At the center of the shell is placed a point charge of 3.43 C. What is the magnitude of the...
Study smarter with the SolutionInn App