A vertical-horizontal support frame

A vertical-horizontal support frame

Secondary 2
6 marks
TGM Original Questions

Core stretch

In a support frame, \(A,B,C\) are collinear vertically and \(B,E,D\) are collinear horizontally. Segments \(AD,AE,CD\) are braces. Given \(BE=4\) m, \(BC=9\) m, \(AE=10\) m, and \(\angle BDC=40^\circ\), find

  1. \(AB\),[2]
  2. \(BD\),[2]
  3. \(\angle EAD\). [2]

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

Solution:

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Answer:(a) \(\sqrt{84}\approx9.17\) m (b) \(10.7\) m (c) \(25.9^\circ\).

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