When two railroad tracks merge, the overlapping portions of the tracks are in the shape of a circular arc. The radius of each are r in feet and the angle theta are related by (x/2) = 2r(sin(theta/2)2. write a formula for x in terms of cos theta

Step-by-step explanation:

Given equation,

           ...... (1)

Since,

Thus,

 ...... (2)

From equation (1) and (2),

Which is the required formula.

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

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step-by-step explanation: