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djyliett [7]
3 years ago
8

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.
Mathematics
1 answer:
lara31 [8.8K]3 years ago
7 0

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

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