Posted by **Vanessa** on Sunday, February 3, 2013 at 12:33pm.

The Brooklyn Bridge in New York City is a suspension bridge that crosses the East River and connects Brooklyn to the island of Manhattan. If the origin is placed at the top of one of the cable suport towers, as shown, the shape of a cable that supports the main span can be modelled by the equation

h=0.0008d^2-0.384d were h metres represents the height and d metres represents the horizontal distance.

a) What is the vertical distance from the top of a support tower to the lowest point on a cable, to the nearest metre?

b)What is the length of the main span?

c) At a horizontal distance of 50m from one end of the cable, how far is the cable below the top of the support towers, to the nearest metre?

- Grade 10 Math -
**Steve**, Sunday, February 3, 2013 at 2:21pm
h = .0008(d^2-480d)

= .0008(d^2-480d+240^2 - 240^2)

= .0008(d-240)^2 - 46.08

So, the vertex is at (240,-46.08)

That means the drop is 46 m

h = .0008d(d-480)

h=0 at d=0,480

The main span is 480 m

h(50) = .0008*50(-430) = -17.2

The point is 17 m below the top

## Answer this Question

## Related Questions

- 8th grade - I need to find the percent of the total area of New York City that ...
- trig - The high level bridge, a railway bridge that crosses the Oldman River is ...
- Math, Trig - The high level bridge, a railway bridge that crosses the Oldman ...
- math - The main span of a suspension bridge is the roadway between the bridge's ...
- Math stem question - The main span of a suspension bridge is the roadway between...
- math - In a suspension bridge, the shape of the suspension cables is parabolic. ...
- english-metaphor - All sentences must be properly constructed. Finally, you ...
- algebra - You live near a bridge that goes over a river. The underside of the ...
- Math - trigonometry - A bridge is 70m long. From the ends of the bridge the ...
- algebra - You live near a bridge that goes over a river. The underside of the ...