The Mach Number M of an Airplane Is the Ratio $$\sin ( \theta / 5 ) = 1 / M$$

question 6

Multiple Choice

The mach number M of an airplane is the ratio of its speed to the speed of sound.When an airplane travels faster than the speed of sound,the sound waves form a cone behind the airplane (see figure) .The mach number is related to the apex angle θ of the cone by $$\sin ( \theta / 5 ) = 1 / M$$ .​ ​ Rewrite the equation in terms of θ.
​

• A)​ \(\theta = 5 \sin \left( \frac { 1 } { M } \right)\)
• B)​ \(\theta = \sin \left( \frac { 1 } { M } \right)\)
• C)​ \(\theta = \sin ^ { - 1 } \left( \frac { 1 } { M } \right)\)
• D)​ \(\theta = 5 \sin ^ { - 1 } \left( \frac { 5 } { M } \right)\)
• E) \(\theta = 5 \sin ^ { - 1 } \left( \frac { 1 } { M } \right)\)

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Definitions:

Malapropism

The mistaken use of a word in place of a similar-sounding one, often with unintentionally amusing effect.

Eidetic Imagery

A phenomenon in which a person has the ability to recall images, sounds, or objects with high precision for a brief period after being exposed to them, often referred to as photographic memory.

Mnemonics

Memory aids or techniques that use patterns, associative imagery, or organizational systems to enhance the recall of information.

Retrograde Amnesia

The inability to recall events that happened or knowledge that was acquired prior to sustaining an injury or the start of a disease.