Convert each degree measure to radian measure. Ex- press the answer in terms of \( \pi \) and as a decimal approxi- mation rounded to the nearest hundredth. \( \begin{array}{ll}\text { 9. } 35^{\circ} & \text { 10. }-40^{\circ} \\ \begin{array}{ll}\text { 11. } 1080^{\circ} & \text { 12. } 154.5^{\circ} \\ \text { Convert each radian measure to degrees. Round an- } \\ \text { swers to the nearest tenth of a degree if necessary. } \\ \begin{array}{ll}\text { 13. } \frac{\pi}{5} & \text { 14. }-\frac{7 \pi}{2} \\ \text { 15. } \frac{\pi}{12} & 16.5\end{array}\end{array} .\end{array} \).

Solve \( \sin ^{2}(t)=-8 \cos (t) \) for all solutions \( 0 \leq t<2 \pi \)

4) \( \operatorname{Si} \tan \Phi=\frac{\sqrt{6}}{3} \), donde " \( \Phi \) " es un ángulo agudo, calcular: \( \mathrm{P}=\sqrt{3} \operatorname{Sec} \Phi+\sqrt{2} \operatorname{Csc} \Phi \)

6 A plane flies on a true bearing of \( 280^{\circ} \mathrm{T} \) at \( 600 \mathrm{~km} / \mathrm{h} \) after taking off at 1300 hours. To the nearest kilometre, how far north of its starting position is it at 1530 hours?

Solve the equation for exact solutions over the interval \( [0,2 \pi) \) \( 2 \tan 3 x=2 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \left\{\frac{\pi}{12}, \frac{5 \pi}{12}, \frac{3 \pi}{4}, \frac{13 \pi}{12}, \frac{17 \pi}{12}, \frac{7 \pi}{4}\right\} \). (Type an exact answer, using \( \pi \) as needed. Type your answer in radians. Use integers or fractions for any numbers in the expression. Use a com B. The solution is the empty set.

A pylon \( \$ \$ 23.7 \$ \$ \mathrm{~m} \) high casts a shadow \( \$ \$ 46.8 \$ \$ \mathrm{~m} \) long. Determine the angle of elevation of the sun to the nearest tenth of a degree. 23.7 m high casts a shadow 46.8 m long. Determine the angle of elevation of the sun to the nearest tenth of a degree. Show answer