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IP2 Class Test (May 2025) Q13

IP2 Class Test (May 2025) Q13

IP 2
10 marks

In the diagram, \(AB = 16\) cm, \(CD = 18\) cm, \(\angle ABC = 90^\circ\), \(\cos \angle BAC = \frac{4}{5}\) and \(BCDE\) is a straight line.

  1. Find \(AC\),[1]
  2. Find \(\tan \angle ACB\),[2]
  3. Find \(AD\),[2]
  4. Find \(\angle ADE\),[2]
  5. Find the shortest distance from \(C\) to \(AD\).[3]

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Answer:(i) AC = 20 cm, (ii) tan∠ACB = 4/3, (iii) AD = 34 cm, (iv) ∠ADE = 151.9°, (v) 144/17 ≈ 8.47 cm

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