Altitude to a base split in the ratio one to three

Altitude to a base split in the ratio one to three

Secondary 2
4 marks
TGM Original Questions

Core stretch

In \(\triangle UVW\), \(UH\perp VW\), \(VH=x\) cm, \(HW=3x\) cm, and \(\angle UVH=32^\circ\).

  1. Write \(UH\) in terms of \(x\).[2]
  2. Hence calculate \(\angle UWV\). [2]

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

Solution:

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Answer:(a) \(x\tan32^\circ\) cm (b) \(11.8^\circ\).

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