Use the statements below to find the size of angle \( x \). \[ \begin{array}{c}\text { Angle } x \text { is a multiple of } 12 . \\ \text { Angle } x \text { is acute. } \\ 2 \text { lots of angle } x \text { gives an obtuse angle. } \\ 3 \text { lots of angle } x \text { gives an obtuse angle. }\end{array} \]

\( \left. \begin{array} { l } { \angle B = 57 ^ { \circ } 20 ^ { \prime } , \angle C = 43 ^ { \circ } 39 ^ { \prime } , b = 18 } \\ { \angle A = 63 ^ { \circ } 24 ^ { \prime } , \angle C = 37 ^ { \circ } 20 ^ { \prime } , c = 32.4 } \\ { \angle A = 85 ^ { \circ } 45 ^ { \prime } , \angle B = 26 ^ { \circ } 31 ^ { \prime } , c = 43.6 } \\ { \angle C = 49 ^ { \circ } , \angle A = 54 ^ { \circ } 21 ^ { \prime } , a = 72 } \\ { \angle B = 29 ^ { \circ } , \angle C = 84 ^ { \circ } , b = 12.3 } \\ { \angle A = 32 ^ { \circ } , \angle B = 49 ^ { \circ } , a = 12 } \\ { a = 5 , \angle A = 32 ^ { \circ } , b = 8 } \\ { c = 13 , b = 10 , \angle C = 35 ^ { \circ } 15 ^ { \prime } } \\ { \angle B = 56 ^ { \circ } 35 ^ { \prime } , b = 12.7 , a = 9.8 } \\ { a = 9 , c = 11.5 , \angle C = 67 ^ { \circ } 21 ^ { \prime } } \\ { a = 15 , b = 16 , c = 26 } \\ { a = 32.4 , b = 48.9 , c = 66.7 } \\ { a = 100 , b = 88.7 , c = 125.5 } \\ { a = 15 , b = 12 , c = 20 } \\ { a = 12 , b = 15 , \angle C = 68 ^ { \circ } } \\ { a = 28 , c = 32 , \angle B = 76 ^ { \circ } } \\ { b = 45 , c = 75 , \angle A = 35 ^ { \circ } } \\ { a = 12.6 , b = 18.7 , \angle C = 56 ^ { \circ } } \end{array} \right. \)

...f \( (\mathrm{x})=0,5 \sin (\mathrm{x}) \) parallel zur Gerade \( \mathrm{y}=-0,25 \mathrm{x}+3 \) ? \( \square 0 \quad \square \frac{\pi}{3} \square 0,5 \pi \quad \square \frac{2}{3} \pi \) \( \square \pi \quad \square \frac{1}{3} \pi \quad \square 1,5 \pi \quad \square 1 \frac{2}{3} \pi \)

19 Multiple Choice 1 point Find the exact value \( \cos \left(\tan ^{-1} \frac{8}{15}-\cos ^{-1} \frac{3}{5}\right) \) \( \frac{77}{85} \) \( -\frac{8}{85} \) \( \frac{8}{85} \) \( -\frac{77}{85} \)

20 True or False 1 point Verify that \( \frac{\sec x \sin x}{\csc x \cos x}=\tan ^{2} x \) is an identity. True False

Question From the observation deck of a skyscraper, Bentley measures a \( 48^{\circ} \) angle of depression to a ship in the harbor below. If the observation deck is 969 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answeir to the nearest tenth of a foot if necessary.