The Cosine Code: Unlocking the Value of \(x\)

The Cosine Code: Unlocking the Value of \(x\)

Secondary 3

The diagram shows \(\Delta ABD\) with point \(C\) lying on the line \(BD\).

It is given that \(AB=7.5\) m, \(AC=7.2\) m, \(CD=8\) m and \(\angle ACD=118{}^\circ\).

  1. Find \(\angle ABC\).
  2. Calculate the distance \(AD\).

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Answer:(i) \(58.0^\circ\) (ii) \(13.0\text{ m}\)

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