Whakaoti i te sin64^circ/10.9=sin26^circ/a

$$\frac { \sin 64 ^ { \circ } } { 10.9 } = \frac { \sin 26 ^ { \circ } } { a }$$

Whakaoti mō a

$$a = \frac{238912275000047183}{44939702314958350} = 5\frac{14213763425255408}{44939702314958350} \approx 5.316285215$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$\frac{0.898794046299167}{10.9} = \frac{0.4383711467890774}{a}$$

Tē taea kia ōrite te tāupe a ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Whakareatia ngā taha e rua o te whārite ki te a.

$$a\times \frac{0.898794046299167}{10.9}=0.4383711467890774$$

Whakarohaina te \frac{0.898794046299167}{10.9} mā te whakarea i te taurunga me te tauraro ki te 1000000000000000.

$$a\times \frac{898794046299167}{10900000000000000}=0.4383711467890774$$

Me whakarea ngā taha e rua ki te \frac{10900000000000000}{898794046299167}, te tau utu o \frac{898794046299167}{10900000000000000}.

$$a=0.4383711467890774\times \frac{10900000000000000}{898794046299167}$$

Me tahuri ki tau ā-ira 0.4383711467890774 ki te hautau \frac{2191855733945387}{10000000000}. Whakahekea te hautanga \frac{2191855733945387}{10000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 1.

$$a=\frac{2191855733945387}{5000000000000000}\times \frac{10900000000000000}{898794046299167}$$

Me whakarea te \frac{2191855733945387}{5000000000000000} ki te \frac{10900000000000000}{898794046299167} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$a=\frac{2191855733945387\times 10900000000000000}{5000000000000000\times 898794046299167}$$

Mahia ngā whakarea i roto i te hautanga \frac{2191855733945387\times 10900000000000000}{5000000000000000\times 898794046299167}.

$$a=\frac{23891227500004718300000000000000}{4493970231495835000000000000000}$$

Whakahekea te hautanga \frac{23891227500004718300000000000000}{4493970231495835000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 100000000000000.

$$a=\frac{238912275000047183}{44939702314958350}$$