Two sight lines in a right-triangle figure

Two sight lines in a right-triangle figure

Secondary 2
6 marks
TGM Original Questions

Triangle \(ACD\) is right-angled at \(C\), with \(CD=6\) cm. Point \(B\) lies on \(AC\). Given \(\angle BDC=35^\circ\) and \(\angle ADC=55^\circ\), find

  1. \(BC\),[2]
  2. \(AB\),[2]
  3. the area of \(\triangle ABD\).

    [2]

Give non-exact lengths and areas to 3 significant figures, and angles to 1 decimal place.

Solution:

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Answer:(a) \(4.20\) cm (b) \(4.37\) cm (c) \(13.1\text{ cm}^2\).

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