Math 9

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2 planes leave the airport at the same time. Minutes later plane A is 70 miles due north of the airport. Plane B is 168 miles due East of the airport. How far apart are the 2 airplanes.
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I think 98 miles apart. Is that right?

  • Math 9 -

    Think of a right triangle. The airport is the vertex of the right angle. Plane A is 70 miles north (Straight up). Plane B is 168 miles East (Straight right). From plane A to B would be side C of the right triange.

    C^2 = A^2 + B^2
    C = sqrt (A^2 + B^2)
    C = sqrt (70^2 + 168^2)
    C = sqrt (33124)
    C = 182 miles

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