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The figure below shows a compass pointing to the North. In which direction will it point if it turns 90° anti-clockwise?

Physics

ScanSolve AI Answer

Answer

Northeast\text{Northeast}

Step-by-step solution

3 steps
  1. Identify the initial direction of the compass.

    The compass is initially pointing North.

  2. Determine the direction and magnitude of the turn.

    The compass turns 315∘315^\circ anti-clockwise.

  3. Calculate the final direction.

    A full circle is 360∘360^\circ. Turning 315∘315^\circ anti-clockwise from North means moving through the directions in an anti-clockwise sequence.

    • North is 0∘0^\circ.
    • 45∘45^\circ anti-clockwise from North is Northwest.
    • 90∘90^\circ anti-clockwise from North is West.
    • 135∘135^\circ anti-clockwise from North is Southwest.
    • 180∘180^\circ anti-clockwise from North is South.
    • 225∘225^\circ anti-clockwise from North is Southeast.
    • 270∘270^\circ anti-clockwise from North is East.
    • 315∘315^\circ anti-clockwise from North is Northeast.

    Alternatively, an anti-clockwise turn of 315∘315^\circ is equivalent to a clockwise turn of 360∘−315∘=45∘360^\circ - 315^\circ = 45^\circ.
    Starting from North, a 45∘45^\circ clockwise turn leads to Northeast.

    The compass will point to Northeast.

    The correct option is:
    Northeast\text{Northeast}

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