Question

Question 14(4 points) narch that suports a bridge over a river is parabolic and spans a horizontal distance of 40m. An equation of the parabola is y = -0.0082? + 1.122, where y meters is the height of a point on the arch above the river, and x meters is the horizontal distance of that point measured from one side of the arch. a) Write an inequality to represent the cross-sectional region between the arch and the river b) Sketch the graph of the inequality above (just a sketch, but include vertex, x-intercepts, and solution region) c) The tallest mast of a ship is 35m above the water level. The ship is trying to pass under the arch 90, from one end of the arch. Can the ship pass under the arch? show a calculation to justify your answer

Answer 1

a) Yman = ?? oleme -0.008 (2n) + 1-12 1.12 70 0.016 Ymax = -0.008(70)2+1=12170) = 39.2 ocy < 39.2 : -0.00822 + 1.122 o scrossectional region < 39.25h Crosseclonal region too 0.Kas 140 Cross sectia (70,39.22 * distance from One side 140 70 Vedtech (70, 39.2) x intercept (2-0, x=140) c ) y (40) 0.008(90)2 +1.12190) 36 fall there so yes ship can pass. arch is 36 m

Please comment if you have any doubt. Thanks