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ashlyn.r Group Title

Todd's friend Olivia is flying her stunt plane at an elevation of 6.3 km. From the ground, Todd sees the plane moving directly toward him from the west at a 49° angle of elevation. Three minutes later he turns and sees the plane moving away from him to the east at a 65° angle of elevation. How fast is Olivia flying in kilometers per hour?

  • one year ago
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  1. gianarpt Group Title
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    the answer is 415!

    • one year ago
  2. ashlyn.r Group Title
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    how!??!?! hahah ty !

    • one year ago
  3. gianarpt Group Title
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    49 = d1 over 6.3 -> d1 = 6.3 tan 49 ≈ 7.25 km

    • one year ago
  4. gianarpt Group Title
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    tan 65 = d2 over 6.3 -> d2 = 6.3 tan 65 ≈ 13.5 km

    • one year ago
  5. gianarpt Group Title
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    Speed = Distance over Time ≈ 7.25 + 13.5 over 0.05 ≈ 415 km/hr

    • one year ago
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