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In the diagram below, \(\mathrm{DCB}=\alpha, \mathrm{AC}=h\) units and \(\mathrm{ACB}=\theta\).


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In the diagram below, \(\mathrm{DCB}=\alpha, \mathrm{AC}=h\) units and \(\mathrm{ACB}=\theta\).

units

  • Determine size of \(\mathrm{ACD}\) in terms of \(\theta\) and \(\alpha\).
  • Prove that \(\mathrm{AD}=\frac{h \sin (\theta-\alpha)}{\cos \alpha}\)
  • Determine the length of \(\mathrm{AD}\) if \(h=17\) units, \(\theta=58^{\circ}\) and \(\alpha=23^{\circ}\).
  • Calculate the area of \(\triangle \mathrm{ADC}\).
in Mathematics by ♦ Diamond (71,587 points) | 143 views

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