Question

Offset Point A Stationing 0.00 0+54.80 133.242 13.02 2+ 98.74 3+448 4+ 50.17 Offset 14.9 34.2 85.4 67.7 68.9 22.8

A)Compute the area between a lake and a straight line AG, from which offsets are taken at irregular intervals as shown in the table above (all distances in feet).

Circle and express your answer to four significant figures and include appropriate units.

PARTB

A) Consider a polygon traverse.

The azimuth of side AB is fixed at 35∘09′32′′. A=57∘00′50′′, B=88∘24′45′′, C=126∘36′58′′, D=46∘03′25′′,E=221∘53′52′′. (Note: Line BC bears NW.)

The lengths of the sides (in meters) are as follows: AB=383.808, BC=360.209, CD=342.204, DE=336.210,and EA=267.527.

The coordinates of station A are X=310,630.892m and Y=121,311.411m.

A)Calculate by coordinates the area within the traverse above.

Circle and express your answer to four significant figures and include appropriate units.

Answer 1

055 2- 68 9A34, 2- 0 22 8 Gr shahon o 1+3324 2+13 02 84 3+4.8 Distance 5 133 24 213-02 28 3M.8 180.12 Let cham length loom stahion value iven iro distanus the e%ample. staliam (2+13.02) chains For = (2x100 十13.02.) 2.13 02 m Similartal other sratim valies can be Conver tea. shich are shoun below CAC Shahon vade in the above bǐaaram, 已m

0 548 133 24 21302 244s01H se1 34 268 2.2.8 ordinste or averae offset merhod. oppl awe we. us or 10 0 I EF I CD & C Let one , are the a verage ordinates From the ure = 24.55-fr- 2. 2. 02t Og 342 4SS 2. 55 +85 2 t6.ss DE 2. 689+22°3 06+0+ 45.85f+-, =

Let did13 the successive srahtons are the dishance between d(133 2 5.8t 2. 29814- 213. 02S2+- uy 829 8 344. 8-294 G2. E F 2.4983.3

Solution for part B:

Given, Internal angle at A, LA 2 5ず0,50 Jimit ㄥ L E22 5352 Let us deter mine rmuhf all the Dines: Fore, Bearing (FB) σ-line. is norhina but- No 8o Back be asFore bearin use'if F is less than 180 weif Feis more thur 180

Now 乙- neFB WAY Line Above formoda is af'『lico ble for anti clock.wisetraverse clock uyge Fraverse n the awen traverse, ine AB es NE And il is awen the line. Bc be ATS N w traverse is anticlock use as o oux wK ACw At stahon B, line. BA İsrhe previous line- card line Bc is the forward貝ne

123 34 +123 31

At staltim D 460.3, 25, FB 나 DE-7011, 15n ウ ne. 221 5FB EA 246 14'10 - 518°8' 3

As the obtaineA. valve is move hom 340 sustrad 36o" from the obtained value to get ble, corre CJ-value.. Deher mining on dinstes ven Co stdhnate rA310630 812. N, 121,311 41E We have A 2-1 mut h ơr AB Length A B 35009, 32. 383, 808 m.

Simi lavty, 22,0014 m. → D A B Lahhndees A:s positive ) should be added-ro Similarty, As depan hare f line A.Bas pos i } 1 ve, 1h-should be added to me eas- coordin are ơFrom. A h 121 311, LAM + 224,019 12.153 2.42,S E フ ,'. Coordina e 4-B İs (310

Similo can be cal ewlalel wrg t fallein for mko North coordinahe sf a poin)- Noth coordin arer other statvoms co odinare ー> evou om lattnde i posihi've (use panntre abso S ame in care dr de

Line	Points	Length	Azimuth	Latitude	Departure	Coordinates
			(D-M-S)			N	E
	A					310630.892	121311.411
AB		383.808	35-09-32	313.785	221.014
	B					310944.677	121532.425
BC		360.209	303-34-17	199.187	-300.125
	C					311143.864	121232.300
CD		342.204	250-11-15	-115.99	-321.948
	D					311027.874	120910.352
DE		336.21	116-14-40	-148.674	301.555
	E					310879.200	121211.907
EA		267.527	158-08-32	-248.295	99.6
	A					310630.905	121311.507

TeA east Co rdin res PoinkA 32

LU 310630.892 x12, 15S24 23-1121311-ylln m) t 1610 qu19.crkx 121 2.32. 39-(21532-4m31143.8リ イ 310879.2x12-1311-567-12-10-11-R9チx3le630,90S" Wemce calculate this o ge the ares