Whakaoti i te sin64^circ/109=sin26^circ/a

$$\frac { \sin 64 ^ { \circ } } { 109 } = \frac { \sin 26 ^ { \circ } } { a }$$

Whakaoti mō a

$$a = \frac{238912275000047183}{4493970231495835} = 53\frac{731852730767913}{4493970231495835} \approx 53.162852154$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$\frac{0.898794046299167}{109} = \frac{0.4383711467890774}{a}$$

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 109a, arā, te tauraro pātahi he tino iti rawa te kitea o 109,a.

$$a\times 0.898794046299167=109\times 0.4383711467890774$$

Whakareatia te 109 ki te 0.4383711467890774, ka 47.7824550000094366.

$$a\times 0.898794046299167=47.7824550000094366$$

Whakawehea ngā taha e rua ki te 0.898794046299167.

$$a=\frac{47.7824550000094366}{0.898794046299167}$$

Whakarohaina te \frac{47.7824550000094366}{0.898794046299167} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$a=\frac{477824550000094366}{8987940462991670}$$

Whakahekea te hautanga \frac{477824550000094366}{8987940462991670} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$a=\frac{238912275000047183}{4493970231495835}$$