Solve the Problem $\theta$ Is the Vertex Angle of the Cone And

question 102

Multiple Choice

Solve the problem.
-An airplane flying faster than the speed of sound creates sound waves that form a cone. If $\theta$ is the vertex angle of the cone and $m$ is the Mach number for the speed of the plane, then $\sin \frac { \theta } { 2 } = \frac { 1 } { m }$ $( m > 1 )$ . Find $\theta$ to the nearest degree if $m = 1.5$ .

• A) \(89 ^ { \circ }\)
• B) \(82 ^ { \circ }\)
• C) \(84 ^ { \circ }\)
• D) \(87 ^ { \circ }\)

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