# A bridge

A bridge over a river is in the shape of the arc of a circle with each base of the bridge at the river's edge. At the center of the river, the bridge is 10 feet above the water. At 27 feet from the edge of the river, the bridge is 9 feet above the water. How wide is the river?

**Result****Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):**

**Showing 2 comments:**

**Dr Math**

r = radius of circle of arc

x = distance between center of circle and water level (center of the circle is under ground)

y = distance in horiznotal of point on circle which is 9 ft above the water

x = distance between center of circle and water level (center of the circle is under ground)

y = distance in horiznotal of point on circle which is 9 ft above the water

#### To solve this verbal math problem are needed these knowledge from mathematics:

## Next similar math problems:

- RT and circles

Solve right triangle if the radius of inscribed circle is r=9 and radius of circumscribed circle is R=23. - Circle annulus

There are 2 concentric circles in the figure. Chord of larger circle 10 cm long is tangent to the smaller circle. What are does annulus have? - Three unknowns

Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0 - Expression with powers

If x-1/x=5, find the value of x^{4}+1/x^{4} - Linsys2

Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144 - Three workshops

There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop? - Isosceles triangle

The leg of the isosceles triangle is 5 dm, its height is 20 cm longer than the base. Calculate base length z. - Holidays - on pool

Children's tickets to the swimming pool stands x € for an adult is € 2 more expensive. There was m children in the swimming pool and adults three times less. How many euros make treasurer for pool entry? - Discriminant

Determine the discriminant of the equation: ? - Roots

Determine the quadratic equation absolute coefficient q, that the equation has a real double root and the root x calculate: ? - Elimination method

Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15 - Equation

Equation ? has one root x_{1}= 8. Determine the coefficient b and the second root x_{2}. - Theorem prove

We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started? - Quadratic equation

Find the roots of the quadratic equation: 3x^{2}-4x + (-4) = 0. - Legs

Cancer has 5 pairs of legs. The insect has 6 legs. 60 animals have a total of 500 legs. How much more are cancers than insects? - Algebra

X+y=5, find xy (find the product of x and y if x+y = 5)