Exact sine and lengths on a straight line

Exact sine and lengths on a straight line

Secondary 2
TGM Original Questions

Points \(A,B,C\) are collinear and \(CD\perp AC\). Given \(AD=13\) cm, \(CD=5\) cm and \(\angle CBD=45^\circ\), let \(x=\angle CAD\). Find

  1. \(\sin x\) exactly,
  2. \(BC\),
  3. \(AB\).

Solution:

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Answer:(a) \(5/13\); (b) \(5\) cm; (c) \(7\) cm.

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