Whakaoti i te a/sin35^circ=10/sin40^circ

$$\frac { a } { \sin 35 ^ { \circ } } = \frac { 10 } { \sin 40 ^ { \circ } }$$

Whakaoti mō a

$$a = \frac{57357643635104600}{6427876096865393} = 8\frac{5934634860181456}{6427876096865393} \approx 8.923265286$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Evaluate trigonometric functions in the problem

$$\frac{a}{0.573576436351046} = \frac{10}{0.6427876096865393}$$

Whakarohaina te \frac{10}{0.6427876096865393} mā te whakarea i te taurunga me te tauraro ki te 10000000000000000.

$$\frac{a}{0.573576436351046}=\frac{100000000000000000}{6427876096865393}$$

Me whakarea ngā taha e rua ki te 0.573576436351046.

$$a=\frac{100000000000000000}{6427876096865393}\times 0.573576436351046$$

Me tahuri ki tau ā-ira 0.573576436351046 ki te hautau \frac{286788218175523}{10000000000}. Whakahekea te hautanga \frac{286788218175523}{10000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 1.

$$a=\frac{100000000000000000}{6427876096865393}\times \frac{286788218175523}{500000000000000}$$

Me whakarea te \frac{100000000000000000}{6427876096865393} ki te \frac{286788218175523}{500000000000000} mā te whakarea taurunga ki te taurunga me te tauraro ki te tauraro.

$$a=\frac{100000000000000000\times 286788218175523}{6427876096865393\times 500000000000000}$$

Mahia ngā whakarea i roto i te hautanga \frac{100000000000000000\times 286788218175523}{6427876096865393\times 500000000000000}.

$$a=\frac{28678821817552300000000000000000}{3213938048432696500000000000000}$$

Whakahekea te hautanga \frac{28678821817552300000000000000000}{3213938048432696500000000000000} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 500000000000000.

$$a=\frac{57357643635104600}{6427876096865393}$$