The line connecting PC to PT is equal to 115 m. If this line makes an angle of 12.5° with the back tangent of a compound curve and 18.5° with the forward tangent and is parallel to the common tangent, find the length of the line connecting PC to PCC.

The line connecting PC to PT is equal to 115 m. If this line makes an angle of 12.5° with the back tangent of a compound curve and 18.5° with the forward tangent and is parallel to the common tangent, find the length of the line connecting PC to PCC.

Traffic and Highway Engineering

5th Edition

ISBN:9781305156241

Author:Garber, Nicholas J.

Publisher:Garber, Nicholas J.

Chapter14: Highway Surveys And Location

Section: Chapter Questions

Problem 14P

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Concept explainers

Curve setting

A curve is a turn that is provided horizontally or vertically in the design of highways, railways, and runways. A curve connects two straight lines that are separated by the deflection angle. It helps to change the direction and alignment of the highways, railway tracks, and runways. Therefore, the gradual change in their alignment is made by using a curve to provide comfort to the passengers and this also provides an easy turn to change the direction of the moving vehicle.

Question

The line connecting PC to PT is equal to 115 m. If this line makes an angle of 12.5° with the back tangent of a compound curve and
18.5° with the forward tangent and is parallel to the common tangent, find the length of the line connecting PC to PCC.
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