Answer Happy

Task 2: Designing a Suspension Bridge: The main cables of a suspension bridge uniformly distribute the weight of the bridge when in the form of a parabola. The main cables of a particular bridge are attached to towers that are 600 apart. The cables are attached to towers at a height of 110ft above the roadway and are 10ft above the roadway at their lowest points. If vertical support cables are at 50-ft. intervals along the level roadway, what are the lengths of these vertical cables? ST MOR 1. Draw your parabola on a set of axes so that it is symmetrical around the y-axis and the road runs along the x-axis.(Hint your parabola does not touch the origin or the x-axis) a. Label your vertex b. Label the points on your parabola at the top of tower 2. Use your points and the standard form of equation of a parabola to solve for p. (Hint: don't forget to shift your parabola off the origin) SHOW YOUR WORKI 3. Use the value you found for p to write the equation of the parabola in standard form. P 4. Next go back and label your graph with each x coordinate (50 feet intervals), Don't include the towers. Name the x-coordinates below: 5. Use your equation (it helps to solve for y) and each of your x-coordinates to find the length of each vertical cable. (Hint: You should have 11 lengths) Show your work and then list your length:

D. Explain the meaning of your solution above by explaining the speed and direction of the plane based on your solution to part C.

Task 2: Designing a Suspension Bridge: The main cables of a suspension bridge uniformly distribute the weight of the bridge when in the form of a parabola. The main cables of a particular bridge are attached to towers that are 600ft apart. The cables are attached to towers at a height of 110ft above the roadway and are 10ft above the roadway at their lowest points. If vertical support cables are at 50- ft. intervals along the level roadway, what are the lengths of these vertical cables? Son 1. Draw your parabola on a set of axes so that it is symmetrical around the y-axis and the road runs along the x-axis.(Hint: your parabola does not touch the origin or the x-axis) a. Label your vertex. b. Label the points on your parabola at the top of tower 2. Use your points and the standard form of equation of a parabola to solve for p. (Hint: don't forget to shift your parabola off the origin) SHOW YOUR WORK! 3. Use the value you found for p to write the equation of the parabola in standard form. 4. Next go back and label your graph with each x coordinate (50 feet intervals). Don't include the towers. Name the x-coordinates below: 5. Use your equation (it helps to solve for y) and each of your x-coordinates to find the length of each vertical cable. (Hint: You should have 11 lengths) Show your work and then list your lengths

50 ft