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I am facing east, I turn 100° in the clockwise direction and then 145° in the anticlockwise direction. Which direction am I facing now?

  • A.East
  • B.North-east
  • C.North
  • D.South-west

Answer: B

I am now facing North-east.

Measure directions clockwise from North, so East is 90°.

\[ \begin{aligned} 90 + 100 &= 190^\circ \\ 190 - 145 &= 45^\circ \end{aligned} \]

45° from North is North-east. In net terms the two turns amount to 45° anticlockwise from East. South-west is the exact opposite direction, a 180° error, and North would need a net turn of 90° anticlockwise from East.

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