Pre-Calc

posted by .

The cable in the center portion of a bridge is supported by five pillars to form a parabola. The center support is 10 ft high, the tallest supports are 210 feet high, and the distance between the two tallest supports is 400 ft. Find the height of the two supports equally spaced between the center support and the tallest supports.

• Pre-Calc -

well, do right 200 foot half of it from the 10 ft level up and add 10 feet at the end
(0,0) , (100,y middle right) , (200,200)

y = k x^2
200 = k (200)^2
k = 1/200

at x = 100
y = (1/200)(100)^2
= (1/2)(100)
= 50
add that ten feet to compensate for moving the origin up at the beginning
height at 100 feet right of center = 60 feet

Similar Questions

1. Algebra II

I'm confused.. 1. The cables of a suspension bridge are in the shape of a parabola. 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 …
2. calculus

a suspenion bridge is in a shape of a parabola and has a length of 3000 feet between the uprights. the roadbed is 50 feet above the river and the lowest point of the curved cable is 25 feet above the road. if the height is 450 feet, …
3. physics

A suspension bridge supported by a cable 100ft long has a sag of 10ft at its center. If the bridge has a weight of 20,000 lbs and its center of mass is the center of the bridge, what is the tension on the cable?
4. pre-calc

A hall 100 feet in length is to be designed as a whispering gallery. If the foci are located 21 feet from the center, how high will the ceiling be at the center?
5. Pre-Calc

A hall 200 feet in length is to be designed as an ellipse if the foci are 35 feet from the center. How high will the ceiling be from the center?
6. Pre - Cal

1. Find the vertex of the parabola: 4y^2+4y-16x=0 2. Find an equation of the parabola, opening down, with vertex (-3,1) and solution point (4,-5). 3. The main cables of a suspension bridge are 20 meters above the road at the towers …
7. AP Calc

The picture to the right shows the Ben Franklin Bridge which stretches across the Delaware River joining Pennsylvania and New Jersey. The center span of the bridge is about 4200 feet long. The suspension cables hang in parabolic arcs …
8. precalculus

one section of a suspension bridge has its weight uniformly distributed between twin towers that are 400 feet apart and rise 90 feet above the horizontal roadway. a cable strung between the tops of the towers has the shape of a parabola, …
9. Pre - Cal

) The main cables of a suspension bridge are 20 meters above the road at the towers and 4 meters above the road at the center. The road is 80 meters long. Vertical cables are spaced every 10 meters. The main cables hang in the shape …
10. math

The height above water level of a curved arch for a bridge can be modeled by h(x) = -0.009x^2 + 1.08x − 0.4, where x is the distancein feet from the point where the left leg of the arch is planted in the ground. A boat traveling …

More Similar Questions