Trigonometry in Architecture: Calculating Elevation

Trigonometry in Architecture: Calculating Elevation

Secondary 3

Block \(A\) and Block \(B\) are at a distance of \(60\) m apart.
Block \(A\) is \(55\) m tall and Block \(B\) is \(18\) m taller.
Find

  1. the angle of elevation of Tower \(B\)'s rooftop from the foot of Tower \(A\).
  2. the length \(XY\) between the two rooftops.

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Answer:(i) \(50.6^\circ\text{ (1 d.p.)}\) (ii) \(XY=62.6\text{ m}\text{ (3 s.f.)}\)

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