The shock$-$wave cone created by the space shuttle at one instant during its reentry into the atmosphere makes an angle of $65\mathrm{.}0$ with its direction of motion. The speed of sound at this altitude is $330$ m$/$sm$/$s$.$

Part A

What is the Mach number of the shuttle at this instant?

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vSvvSv $=$

nothing

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Part B

How fast is it traveling relative to the atmosphere?

Express your answer in meters per second.

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vSvS $=$

nothing

m$/$sm$/$s

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Part C

How fast is it traveling relative to the atmosphere?

Express your answer in miles per hour.

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vSvS $=$

nothing

mi$/$hmi$/$h

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Part D

What would be its Mach number if it flew at the same speed but at low altitude where the speed of sound is $340$ m$/$sm$/$s$?$

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vSvvSv $=$

nothing

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Part E

What would be the angle of its shock$-$wave cone if it flew at the same speed but at low altitude where the speed of sound is $340$ m$/$sm$/$s$?$

Express your answer in degrees.

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$=$

nothing

$$