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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Definitions:

Predetermined Overhead Rate

A rate used to apply manufacturing overhead to products or job orders, calculated before the production period begins.

Machine-Hours

A measure of the amount of time machines are run in the production process, used in allocating costs to products.

Manufacturing Overhead

All indirect costs associated with manufacturing, excluding direct materials and direct labor costs.

Predetermined Overhead Rate

A rate used to allocate manufacturing overhead to individual units of production, based on estimated costs and activity levels.