Whakaoti i te sin52^circ/45=sin118^circ/a

$$\frac { \sin 52 ^ { \circ } } { 45 } = \frac { \sin 118 ^ { \circ } } { a }$$

Whakaoti mō a

$$a = \frac{79465283357303439}{1576021507213444} = 50\frac{664207996631240}{1576021507213444} \approx 50.421446023$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$\frac{0.788010753606722}{45} = \frac{0.8829475928589271}{a}$$

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 45a, arā, te tauraro pātahi he tino iti rawa te kitea o 45,a.

$$a\times 0.788010753606722=45\times 0.8829475928589271$$

Whakareatia te 45 ki te 0.8829475928589271, ka 39.7326416786517195.

$$a\times 0.788010753606722=39.7326416786517195$$

Whakawehea ngā taha e rua ki te 0.788010753606722.

$$a=\frac{39.7326416786517195}{0.788010753606722}$$

Whakarohaina te \frac{39.7326416786517195}{0.788010753606722} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$a=\frac{397326416786517195}{7880107536067220}$$

Whakahekea te hautanga \frac{397326416786517195}{7880107536067220} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 5.

$$a=\frac{79465283357303439}{1576021507213444}$$