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A commuter airplane must make two stops before reaching its final destination. From its origin, the plan flies 300 miles west to reach its first destination, and 400 miles north to reach its second destination. Finally, it flies 700 miles east to reach its final destination. What is the straight-line distance between its origin and its final destination?

Respuesta :

Diatonic254

565. 685  miles

Explanation:

The description of the vector of the plane travel forms a  trapezoid shape as shown in the attached diagram.  The requested vector distance is the hypotenuse of the right-angled triangle on the right. We understand that to get hypotenuse we use the formula;

a² + b² = c²

400² + 400² = c²

c² = 320,000

c = 565. 685

Learn More:

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