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

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) $87 ^ { \circ }$

Correct Answer:

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