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

question 262

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 $\sin \frac { \theta } { 2 } = \frac { 1 } { m }$ $( \mathrm { m } > 1 )$ . Find $\theta$ to the nearest degree if $\mathrm { m } = 3.9$ .

• A) \(35 ^ { \circ }\)
• B) \(33 ^ { \circ }\)
• C) \(30 ^ { \circ }\)
• D) \(28 ^ { \circ }\)

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Definitions:

Official Rituals

Ceremonial acts conducted in a formal and recognized manner, often by religious or governmental institutions.

Descent System

The method by which membership in a clan, tribe, or community is determined based on the lineage from an ancestor, following either the maternal or paternal lines or both.

Ancestral Spirits

Beliefs in the spirits of the deceased ancestors, often thought to influence the living or to offer guidance and protection.

Unilineal

Describing descent or inheritance through either the male or female line exclusively.