Angle between a line and a plane

1. A.
   $\dfrac{\pi}{3}$
2. B.
   $\dfrac{\pi}{6}$
3. C.
   $\dfrac{\pi}{4}$
4. D.
   $\dfrac{\pi}{12}$

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1. A.
   $\theta = \sin^{-1}\left(\dfrac{\sqrt{2}}{3}\right)$
2. B.
   $\theta = \cos^{-1}\left(\dfrac{\sqrt{2}}{3}\right)$
3. C.
   $\theta = \cos^{-1}\left(\dfrac{2}{\sqrt{3}}\right)$
4. D.
   $\theta = \sin^{-1}\left(\dfrac{3}{\sqrt{2}}\right)$

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1. A.
   $\sin^{-1}\dfrac{22}{\sqrt{466}}$
2. B.
   $\cos^{-1}\dfrac{22}{\sqrt{646}}$
3. C.
   $\tan^{-1}\dfrac{22}{9\sqrt{2}}$
4. D.
   $\sin^{-1}\dfrac{22}{\sqrt{664}}$

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1. A.
   $\dfrac{6}{21}$
2. B.
   $\dfrac{36}{42}$
3. C.
   $\dfrac{8}{21}$
4. D.
   $\dfrac{3}{21}$

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1. A.
   $\sin^{-1}\left(\dfrac{\sqrt{7}}{3}\right)$
2. B.
   $\sin^{-1}\left(\dfrac{\sqrt{14}}{\sqrt{26}}\right)$
3. C.
   $\sin^{-1}\left(\dfrac{\sqrt{21}}{14}\right)$
4. D.
   $\sin^{-1}\left(\dfrac{\sqrt{28}}{21}\right)$

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