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Ami asked in Science & MathematicsMathematics · 2 months ago

Calculus Help!!?

Two commercial jets at 40,000 ft are flying at 520 mi/hr along straight line courses

that cross at right angles. How fast is the distance between them closing when the

airplane A is 5 mi from the intersection point and airplane B is 12 mi from the

intersection point? How fast is the distance closing at any time t? 

Attachment image

1 Answer

  • Bryce
    Lv 7
    2 months ago
    Favorite Answer

    D²= x² + y²

    D= √(5² + 12²)= 13 mi

    D*dD/dt= x*dx/dt + y*dy/dt

    13*dD/dt= 5*-520 + 12*-520

    dD/dt= -680 mi/hr

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