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Lines, Angles, and Triangles

SAT Math· difficulty 4/5

Two ships leave port at the same time. Ship A travels east at 15 mph, ship B travels north at 20 mph. After 2 hours, how far apart are they?

  • A

    50 miles

    check_circle
  • B

    1225\sqrt{1225} miles

  • C

    70 miles

  • D

    35 miles

Explanation

After 2 hours: A is 3030 mi east, B is 4040 mi north. Distance =sqrt302+402=sqrt2500=50= \\sqrt{30^2 + 40^2} = \\sqrt{2500} = 50 miles. (3-4-5 triple scaled.)

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