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An airplane flies with an unknown velocity due east. The plane
is experiencing wind of 12 m/s due north which produces a
resultant velocity of 35.11 m/s northeast. Determine the
unknown velocity produced by the plane engines.

Respuesta :

abidemiokin

Answer:

32.99m/s

Explanation:

Using the formula for calculating the resultant velocity according to Pythagoras theorem

R² = 12²+x²

35.11² = 12²+x²

X² = 35.11²-12²

X² = 1232.7121-144

X² = 1088.8121

X = √1088.8121

X = 32.99m/s

Hence the unknown velocity produced by the plane engines is 32.99m/s

Cricetus

The unknown velocity produced by the plane engines will be "32.99 m/s".

Given:

Resultant velocity,

  • R = 35.11 m/s

Wind speed,

  • 12 m/s

By using the Pythagoras theorem, we get

→         [tex]R^2= 12^2+x^2[/tex]

→    [tex]35.11^2=12^2+x^2[/tex]

→ [tex]1232.712=122+x^2[/tex]

→           [tex]x^2= 1099.8121[/tex]

→             [tex]x = \sqrt{1088.8121}[/tex]

→                [tex]= 32.00 \ m/s[/tex]

Thus the answer above is right.

Learn more:

https://brainly.com/question/17675290

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