Question

The tangent distance for a circular curve of length 150 meters joining two straights meeting at an external deflection angle of ${30}^{\circ }$ is

• A. 76.76

Answer 1

The correct option is A 76.76


Length of the curve,

$l=\frac{\pi R\Delta }{180}$

$\Delta \to \text{deflection angle}={30}^{\circ }$

$R\to radius$

$l\to 150m$
$\therefore 150=\frac{\pi R\times 30}{180}$
$R=286.48m.$

Tangent length,

$T=R\tan \left(\frac{\Delta }{2}\right)$
$=76.76m$