Whakaoti i te sqrt{1500*981/sin(80)}

$$\sqrt{ \frac{ 1500 \times 981 }{ \sin ( 80 ) } }$$

Aromātai

$$\frac{375000000\sqrt{40254016904374002}}{61550484563263}\approx 1222.37484406$$

Ngā Upane Otinga

Evaluate trigonometric functions in the problem

$$\sqrt{\frac{1500 \cdot 981}{0.984807753012208}}$$

Whakareatia te 1500 ki te 981, ka 1471500.

$$\sqrt{\frac{1471500}{0.984807753012208}}$$

Whakarohaina te \frac{1471500}{0.984807753012208} mā te whakarea i te taurunga me te tauraro ki te 1000000000000000.

$$\sqrt{\frac{1471500000000000000000}{984807753012208}}$$

Whakahekea te hautanga \frac{1471500000000000000000}{984807753012208} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 16.

$$\sqrt{\frac{91968750000000000000}{61550484563263}}$$

Tuhia anō te pūtake rua o te whakawehenga \sqrt{\frac{91968750000000000000}{61550484563263}} hei whakawehenga o ngā pūtake rua \frac{\sqrt{91968750000000000000}}{\sqrt{61550484563263}}.

$$\frac{\sqrt{91968750000000000000}}{\sqrt{61550484563263}}$$

Tauwehea te 91968750000000000000=375000000^{2}\times 654. Tuhia anō te pūtake rua o te hua \sqrt{375000000^{2}\times 654} hei hua o ngā pūtake rua \sqrt{375000000^{2}}\sqrt{654}. Tuhia te pūtakerua o te 375000000^{2}.

$$\frac{375000000\sqrt{654}}{\sqrt{61550484563263}}$$

Whakangāwaritia te tauraro o \frac{375000000\sqrt{654}}{\sqrt{61550484563263}} mā te whakarea i te taurunga me te tauraro ki te \sqrt{61550484563263}.

$$\frac{375000000\sqrt{654}\sqrt{61550484563263}}{\left(\sqrt{61550484563263}\right)^{2}}$$

Ko te pūrua o \sqrt{61550484563263} ko 61550484563263.

$$\frac{375000000\sqrt{654}\sqrt{61550484563263}}{61550484563263}$$

Hei whakarea \sqrt{654} me \sqrt{61550484563263}, whakareatia ngā tau i raro i te pūtake rua.

$$\frac{375000000\sqrt{40254016904374002}}{61550484563263}$$