Whakaoti i te sin35^circ/a=sin85^circ/44

$$\frac { \sin 35 ^ { \circ } } { a } = \frac { \sin 85 ^ { \circ } } { 44 }$$

Whakaoti mō a

$$a = \frac{50474726398892048}{1992389396183491} = 25\frac{664991494304773}{1992389396183491} \approx 25.333765827$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$\frac{0.573576436351046}{a} = \frac{0.9961946980917455}{44}$$

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te 44a, arā, te tauraro pātahi he tino iti rawa te kitea o a,44.

$$44\times 0.573576436351046=a\times 0.9961946980917455$$

Whakareatia te 44 ki te 0.573576436351046, ka 25.237363199446024.

$$25.237363199446024=a\times 0.9961946980917455$$

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$a\times 0.9961946980917455=25.237363199446024$$

Whakawehea ngā taha e rua ki te 0.9961946980917455.

$$a=\frac{25.237363199446024}{0.9961946980917455}$$

Whakarohaina te \frac{25.237363199446024}{0.9961946980917455} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$a=\frac{252373631994460240}{9961946980917455}$$

Whakahekea te hautanga \frac{252373631994460240}{9961946980917455} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$a=\frac{50474726398892048}{1992389396183491}$$