Answer:
The correct answer is "1287.02 ft"
Step-by-step explanation:
Given that:
T = 1200 ft
PI = 145+00
[tex]\Theta[/tex] = 29.86°
or,
= 0.5211 rad
As we know,
The radius of curve is:
⇒ [tex]T = R \ tan\frac{\Theta}{2}[/tex]
[tex]1200=R \ tan(\frac{0.5211}{2} )[/tex]
[tex]1200=R \ tan(0.267)[/tex]
[tex]R = 4494.38 \ ft[/tex]
The length of curve will be:
⇒ [tex]L=R \Theta[/tex]
[tex]=449.38\times 0.5211[/tex]
[tex]=2342.01 \ ft[/tex]
hence,
Station PT will be:
= [tex]PI-T+L[/tex]
= [tex]145-1200+2341.01[/tex]
= [tex]1287.02 \ ft[/tex]
