$\"\"$

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Pilot maintains aircraft speed of $\"\"$ .

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Wind speed is $\"\"$ from northwest

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Consider the resultant speed of the aircraft which moves it in directly east side as $\"\"$ .

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Diagram of the situation:

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$\"\"$

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Observe the figure:

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$\"\"$

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From the direction angle properties: $\"\"$ .

\

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Equating the similar terms on each side.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

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$\"\"$

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Actual speed of the aircraft $\"\"$ .

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$\"\"$

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Compass head $\"\"$ .

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Actual speed of the aircraft $\"\"$ .