Whakaoti i te sin31/3.9=a/5.6

$$\frac { \sin 31 } { 3.9 } = \frac { a } { 5.6 }$$

Whakaoti mō a

$$a=\frac{6008777540617299}{8125000000000000}\approx 0.739541851$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$\frac{0.5150380749100542}{3.9} = \frac{a}{5.6}$$

Whakarohaina te \frac{0.5150380749100542}{3.9} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$\frac{5150380749100542}{39000000000000000}=\frac{a}{5.6}$$

Whakahekea te hautanga \frac{5150380749100542}{39000000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 6.

$$\frac{858396791516757}{6500000000000000}=\frac{a}{5.6}$$

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

$$\frac{a}{5.6}=\frac{858396791516757}{6500000000000000}$$

Me whakarea ngā taha e rua ki te 5.6.

$$a=\frac{858396791516757}{6500000000000000}\times 5.6$$

Me tahuri ki tau ā-ira 5.6 ki te hautau \frac{56}{10}. Whakahekea te hautanga \frac{56}{10} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$a=\frac{858396791516757}{6500000000000000}\times \frac{28}{5}$$

Me whakarea te \frac{858396791516757}{6500000000000000} ki te \frac{28}{5} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$a=\frac{858396791516757\times 28}{6500000000000000\times 5}$$

Mahia ngā whakarea i roto i te hautanga \frac{858396791516757\times 28}{6500000000000000\times 5}.

$$a=\frac{24035110162469196}{32500000000000000}$$

Whakahekea te hautanga \frac{24035110162469196}{32500000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 4.

$$a=\frac{6008777540617299}{8125000000000000}$$