A salvage vessel locates a sunken ship 168 m below the water's surface. It determines that the angle of depression to one end of the ship is \( 47.6^{\circ} \) and to the other end is \( 65.1^{\circ} \). Determine the length of the ship.

Find an equation for a sinusoidal function that has period \( 2 \pi \), amplitude 1 , and contains the point \( \left(-\frac{\pi}{2}, 3\right) \)

Find an equation for a sinusoidal function that has period \( \pi \), amplitude \( \frac{1}{2} \), and contains the point \( \left(\frac{\pi}{2}, 0\right) \).

\( \tan \theta=-\frac{3}{4} \), given that \( \theta \) is in quadrant IV

\( \tan \theta=\frac{8}{15} \), given that \( \theta \) is in quadrant III

2. The angles of elevation of the top of a tree from \( P \) and \( Q \) which are 30 m apart are \( 22^{\circ} \) and \( 32^{\circ} \) respectively. Given that the two points are on the same side of the tree and on straight line, determine the height of the tree. ( 4 mks )