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The center-line of a new railway is to be set out along a valley. The first straight AI bears 75 whilst the connecting straight

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The center-line of a new railway is to be set out along a valley. The first straight AI bears 75 whilst the connecting straight line IB bears 120. Due to site conditions it has been decided to join the straights with a compound curve. The first curve of 500m radius commences at T, situated from I on straight AI, and deflects through an angle of 25 before joining the second curve. Calculate the radius of the second curve and the distance of the tangent point T from I on the straight IB.

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