Elevation from above a court

Elevation from above a court

Secondary 4
4 marks
TGM Original Questions

ABCD is a horizontal rectangular court with \(AB=18\) m and \(BC=24\) m. A vertical mast CT is 7.5 m high. An observer's eye E is vertically 1.5 m above A. The dashed line is horizontal and meets CT at the same height as E. The diagram is not to scale.

  1. Find AC.[2]
  2. Calculate the angle of elevation \(\alpha\) of T from E.[2]

Solution:

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Answer:(a) \(30\text{ m}\) (b) \(11.3^\circ\)

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