A plane leaves airport A and travels 590 miles to airport B on a bearing of \( \mathrm{N} 35^{\circ} \mathrm{E} \). The plane later leaves airport B and travels to airport C 420 miles away on a bearing of \( 570^{\circ} \mathrm{E} \). Find the distance from airport A to airport C to the nearest tenth of a mile. The distance from airport A to airport C is about \( \square \) miles. (Round to the nearest tenth as needed.)

\begin{tabular}{|l|} 3. Решите уравнение. В ответе напишите \\ наибольший отрицательный корень. \\ \( \sin \frac{\pi(4 x+5)}{6}=-0,5 \)\end{tabular}

The angle of depression from one mountain summit to another is \( 15.9^{\circ} \). If the two mountains differ in height by 430 metres, find the horizontal distance between the two summits, to the nearest centimetre.

2. Решите уравнение . В ответе напишите наименьший положительный корень. \( \sin \frac{\pi(4 x-3)}{4}=\frac{\sqrt{2}}{2} \)

b) \( 3\left(\cos ^{4} x+\sin ^{4} x\right)-2\left(\cos ^{6} x+\sin ^{6} x\right)=1 \)

- \( \left|\begin{array}{l}\text { 1.Решите уравнение. В ответе напишите } \\ \text { наименьший положительный корень. } \\ \sin \frac{\pi(x+9)}{4}=-1\end{array}\right| \)