Two Customer Service agents in a bank work such that the first one takes an average of 5 minutes while the second takes an average of 8 minutes to serve a client. The counters are opened at 8:00 am. When the agents begin serving clients - At what time will they complete serving 182 clients?

Hebu $T$ iwe kilele cha mlima, na $B$ iwe chini ya mlima kwenye ardhi tambarare. Pointi $V$ na $P$ ziko kwenye ardhi tambarare, na $P$ iko karibu na $B$ kuliko $V$.

• Umbali kati ya $V$ na $P$ ni 2000 m.
• Pembe ya mwinuko kutoka $V$ hadi $T$ ni $\angle TVB = 22^\circ$.
• Pembe ya mwinuko kutoka $P$ hadi $T$ ni $\angle TPB = 40^\circ$. Tunahitaji kupata umbali mfupi zaidi kutoka $P$ hadi $T$, ambao ni urefu wa $TP$.

• Pembe $\angle TVP = 22^\circ$ (pembe ya mwinuko kutoka $V$).
• Pembe $\angle TPB = 40^\circ$ (pembe ya mwinuko kutoka $P$).
• Kwa kuwa $\angle TPB$ na $\angle TPV$ ziko kwenye mstari ulionyooka, $\angle TPV = 180^\circ - \angle TPB = 180^\circ - 40^\circ = 140^\circ$.
• Jumla ya pembe katika pembetatu ni $180^\circ$. Hivyo, pembe $\angle VTP = 180^\circ - \angle TVP - \angle TPV = 180^\circ - 22^\circ - 140^\circ = 18^\circ$.

Kanuni ya Sine inasema kwamba kwa pembetatu yoyote, uwiano wa urefu wa upande kwa sine ya pembe inayokabili upande huo ni sawa kwa pande zote.
Tunataka kupata $TP$. Tunajua $VP = 2000$ m.

Badilisha thamani zinazojulikana:

Ili kupata $TP$, zidisha pande zote mbili kwa $\sin(22^\circ)$:

Tumia thamani za sine:
$\sin(22^\circ) \approx 0.374606$
$\sin(18^\circ) \approx 0.309017$

Umbali mfupi zaidi kutoka pointi P hadi kilele cha mlima ni: