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The Mach angle in a stream at \( M = 1.5 \) is nearest to

  • A.48.2 degrees
  • B.41.8 degrees
  • C.30.0 degrees
  • D.19.5 degrees

Answer: B

Correct answer: 41.8 degrees

\[ \mu = \arcsin\left(\frac{1}{M}\right) = \arcsin\left(\frac{1}{1.5}\right) = \arcsin(0.667) = 41.8^{\circ}. \] The angle falls as the Mach number rises - 90 degrees at \( M=1 \), where the wave is normal to the flow, and approaching zero at high Mach number, where the Mach cone closes down about the flight path. The 48.2 offered is its complement.

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