SPECTRA PRECISION FOCUS 2 SERIES TOTAL STATION USER GUIDE
B –
Calculate Road Alignment
157
Coordinate KA2
N
KA2
= N
IP1
−
D
2
⋅
c o s
α
2
E
KA2
= E
IP1
−
D
2
⋅
sin
α
2
Bearing from IP1 to IP2,
α
2
= 322°07’30.1’’:
N
KA2
= 1300 –(-182.468)
∗
cos 322°07’30.1’’= 1444.032 m
E
KA2
= 1750 –(-182.468) * sin 322°07’30.1’’= 1637.976 m
Coordinates BC, EC which is ARC (IP1,IP2,EP)
Arc length CL
=
R
⋅
IA
When IA= 95°52’11’’ :
Tangent length:
Each coordinate is calculated as follows:
N
BC
=
N
IP2
−
TL
⋅
cos
α
2
E
BC
=
E
IP2
−
TL
⋅
sin
α
2
N
EC
=
N
IP2
−
TL
⋅
cos
α
3
E
EC
=
E
IP2
−
TL
⋅
sin
α
3
where:
α
2
(bearing from IP1 to IP2) = 322°07’30.1’’
α
3
(bearing from IP2 to EP) = 57°59’40.6’’
the coordinates values are:
N
EC
=
11750 - 221.615
∗
cos322°07’30.1’’ =1575.068 m
E
BC
=
1400 - 221.615
∗
sin322°07’30.1’’ =1536.058 m
N
EC
=
1750 –(-221.615)
∗
cos57°59’40.6’’=1867.456 m
E
EC
=
1400 –(-221.615)
∗
sin57°59’40.6’’=1587.929 m
CL
200 95
°
52
′
11
″
π
180
°
-----------
×
×
334.648m
=
=
TL
R
IA
2
------
200
95
°
52
′
11
″
2
⁄
(
)
tan
×
221.615m
=
=
tan
⋅
=