Motorcycle Cutoff

I was traveling Northward in my automobile at 100 km/hr. A motorcyclist traveling at 150 km/hr overtook me and immediately cut in front of me.

Assuming that the leading edge of his front tire was 1.0 m away when it was directly west of my front bumper what is the maximum angle from North in which he could safely negotiate this cutoff?


  • Assume that the length of the motorcycle was 2 m.
  • Answer correct to 2 decimal points.

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