If the bearing of a from be is 100⁰ what is the bearing of b from a

Mathematics

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Step-by-step solution

3 steps

To find the bearing of B from A when the bearing of A from B is given, we use the concept of back bearings.

  1. Identify the given bearing.

    The bearing of A from B is 100∘100^\circ.

  2. Apply the rule for back bearings.

    If the given bearing is less than 180∘180^\circ, add 180∘180^\circ to find the back bearing.
    If the given bearing is greater than 180∘180^\circ, subtract 180∘180^\circ to find the back bearing.
    Since 100∘100^\circ is less than 180∘180^\circ, we add 180∘180^\circ.

  3. Calculate the bearing of B from A.

    Bearing of B from A = Bearing of A from B + 180∘180^\circ
    Bearing of B from A = 100∘+180∘100^\circ + 180^\circ
    Bearing of B from A = 280∘280^\circ

    The bearing of B from A is \boxed{\text{280^\circ}}.

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