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

question 313

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 $\mathrm { m }$ is the Mach number for the speed of the plane, then $\sin \frac { \theta } { 2 } = \frac { 1 } { \mathrm {~m} }$ $( \mathrm { m } > 1 )$ . Find the Mach number to the nearest tenth if $\theta = 60 ^ { \circ }$ .

• A) 2
• B) \(2.6\)
• C) \(3.1\)
• D) \(1.8\)

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Definitions:

Mania

A mood disorder marked by a hyperactive, wildly optimistic state.

Schizophrenia

A mental disorder characterized by delusions, hallucinations, disorganized speech and behavior, and impaired cognitive ability.

Obsessive-compulsive Disorder

A chronic mental health condition characterized by uncontrollable, recurring thoughts (obsessions) and behaviors (compulsions) that the individual feels compelled to repeat.

Panic Attack

A sudden and intense surge of fear or discomfort, often with no apparent cause, marked by physical symptoms such as heart palpitations, shortness of breath, or dizziness.