1-Amaliy ish. Bitta tik stvol orqali yo`naltirish-bog`lash uchburchagining parametrlarini hisoblash. Ishdan maqsad

Yechish:
1. Birinchi tomon direksion burchagini variant nomeriga asoslanib quyidagi formuladan aniqlaymiz;
_DC = (90+n) + n + n. (1.1)
bu yerda n – variant nomeri (variant №13) n = 13;
_DC = (90+13) + 13 + 13 = 1031313.
2. D nuqta koordinatalari D(x; y) ni variant nomeriga asoslanib quyidagi formuladan aniqlaymiz;
x_D = 1000,000 + 10,010  n.
u_D = 2000,000 + 10,010  n. (1.2)
bundan
x_D = 1130,000 m.
y_D = 2130,000 m.
3. Sinuslar teoremasidan foydalanib yer yuzasidagi bog`lovchi uchburchak CAB va yo`naltirilayotgan gorizontdagi bog`lovchi uchburchak CAB ichki burchaklari ,  va ,  larni hisoblaymiz.
3.1 Sinuslar teoremasidan foydalanib yer yuzasidagi bog`lovchi uchburchak CAB ichki burchaklari  va  larni hisoblaymiz;

.
topilgan  yoki  burchaklardan haqiqiysini quyidagi formulalar bo`yicha hisoblaymiz;
<sub>h</sub> = 180 - yoki <sub>h</sub> = 180 -  (1.3)
agar > bo`lsa, unda  ning, > bo`lsa,  ning haqiqiysi topiladi.
> bo`lgani uchun:
_h = 180 - =180 – 63255 = 1732705.
Topilgan haqiqiy burchak qiymati va qolgan burchaklar bo`yicha quyidagi shartni tekshiramiz;
<sub>h</sub> +  +  = 180 yoki <sub>h</sub> +  +  = 180
bundan
<sub>h</sub> +  +  = 180 = 1732705 + 35605 + 23650 = 1800000
3.2 Ushbu hisoblashlarni yo`naltirilayotgan gorizontdagi bog`lovchi uchburchak CAB da o`tkazamiz;

.
topilgan  yoki  burchaklardan haqiqiysini quyidagi formulalar bo`yicha hisoblaymiz;
<sub>h</sub> = 180 -  yoki <sub>h</sub> = 180 - . (1.4)
agar > bo`lsa, unda  ning, > bo`lsa,  ning haqiqiysi topiladi.
> bo`lgani uchun:
_h = 180 - = 180 – 55609 = 1740351.
Topilgan haqiqiy burchak qiymati va qolgan burchaklar bo`yicha shartni tekshiramiz;
_h + +  = 180 yoki _h +  +  = 180.
bundan
_h +  +  = 180 = 1740351 + 32812 + 22757 = 1800000
4. Birinchi va ikkinchi yo`llar bo`yicha tomonlar direksion burchaklarini hisoblaymiz.
4.1 Birinchi yo`l bo`yicha tomonlarning direksion burchaklarini hisoblaymiz;
_DC = (90+n) + n + n = 1031313;
_CA = _DC + 180 +  = 1031313 + 180 + 1755010 = 990323;
_AB = _CA + 180 -  = 990323 + 180 + 35605 = 2750718;
_BC = _AB + 180 + _h = 2750718 + 180 + 1740351 = 2691109;
_CD = _BC + 180 + ( + ) = 2691109 + 180 + (1780642 + 22757) = 2894548.
4.2 Ikkinchi yo`l bo`yicha tomonlarning direksion burchaklarini hisoblaymiz;
_DC = (90+n) + n + n = 1031313;
_CB = _DC + 180 + ( + ) = 1031313 + 180 + (1755010 + 23650) = 1014013;
_BA = _CB + 180 + _h = 1014013 + 180 + 1732705 = 950718;
_AC = _BA + 180 -  = 950718 + 180 - 32812 = 2713906;
_CD =_AB + 180 +  = 2713906 + 180 + 1780642 = 2894548.

1. 
   Birinchi va ikkinchi yo`llar bo`yicha tomonlarning rumb burchagini, topilgan tegishli direksion burchaklar yordamida “direksion va rumb burchaklar orasidagi munosabat” ga asoslanib hisoblaymiz. Ular orasidagi munosabat 1.1 jadvalda keltirilgan.
   

1.1-j a d v a l