A rectangle with points on adjacent sides

A rectangle with points on adjacent sides

Secondary 2
TGM Original Questions

Rectangle \(ABCD\) has \(AB=2.4\) m and \(AD=1.5\) m. Point \(P\) lies on \(BC\), point \(Q\) lies on \(CD\), \(\angle BAP=20^\circ\), and \(\angle AQD=60^\circ\). Find

  1. \(BP\),
  2. \(AQ\),
  3. \(\angle BAC\),
  4. the area of \(\triangle APC\). Give non-exact lengths, areas and other numerical values to 3 significant figures, and angles to 1 decimal place, unless otherwise stated.

Solution:

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Answer:(a) \(0.874\) m; (b) \(1.73\) m; (c) \(32.0^\circ\); (d) \(0.752\text{ m}^2\).

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