Anonymous
Anonymous asked in Science & MathematicsMathematics · 10 years ago

A pilot’s airspeed velocity is 120 knots due west..10 POINTS!?

A pilot’s airspeed velocity is 120 knots due west. The wind is blowing 30 knots due south. What is the pilot’s groundspeed velocity (also called the pilot’s true course)? What is the pilot’s speed?

Please help! I don't get how to do it!

1 Answer

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  • Sparks
    Lv 6
    10 years ago
    Favorite Answer

    It's a combination of flight speed and wind speed.

    The direction of the plane and the wind make a 90° angle with one another.

    Distance x:

    x = √( 120² + 30²)

    x = √ 14,400 + 900

    x = √ 15,300

    x = 123∙ 69 316...

    x ≈ 123∙7 Knots

    Tan Θ = 30/ 120

    Θ = Tan-1 (30/120)

    Θ = Tan-1 (0∙25)

    Θ = 14∙036 24...

    That's probably a west west south direction.

    123∙7 Knots at 14∙0°

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