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For the same point \( P(3, 4, 5) \), the azimuthal angle \( \phi \) is about

  • A.30 degrees
  • B.53.1 degrees
  • C.36.9 degrees
  • D.45 degrees

Answer: B

Correct answer: 53.1 degrees

\[ \phi = \arctan\frac{y}{x} = \arctan\frac{4}{3} = 53.1^\circ. \] The quadrant must be checked from the signs of x and y, since the arctangent alone cannot distinguish the first quadrant from the third - both x and y being positive here places the point in the first.

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