Question

A horizontal curve is being designed around a pond with a tangent length of 1200 ft and a central angle of 29.86 degrees. If the PI is at station 145 00, determine the station of PT.

Answer 1

Answer:

The correct answer is "1287.02 ft"

Step-by-step explanation:

Given that:

T = 1200 ft

PI = 145+00

$\Theta$ = 29.86°

or,

  = 0.5211 rad

As we know,

The radius of curve is:

⇒ $T = R \ tan\frac{\Theta}{2}$

$1200=R \ tan(\frac{0.5211}{2} )$

$1200=R \ tan(0.267)$

    $R = 4494.38 \ ft$

The length of curve will be:

⇒ $L=R \Theta$

       $=449.38\times 0.5211$

       $=2342.01 \ ft$

hence,

Station PT will be:

= $PI-T+L$

= $145-1200+2341.01$

= $1287.02 \ ft$