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 \( 3 \pi \), amplitude 3 , and contains the point \( \left(-\frac{3 \pi}{2}, 0\right) \)

Дан треугольник \( A B C \), в котором \( \angle C=90^{\circ} \), а \( \sin B=\frac{4 \sqrt{3}}{10} \). Найд \( \cos ^{2} B \).

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

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

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