Trigonometry in Motion: Analyzing Plane Geometry and Seesaw Elevations

Trigonometry in Motion: Analyzing Plane Geometry and Seesaw Elevations

Secondary 3

The diagram shows a playground \(ABCD\).

\(AB\) is perpendicular to \(BD\), \(BD=50\) m, \(CD=25\) m and \(\angle BDC=140{}^\circ\).

  1. Calculate the \(\angle ADB\).
  2. Calculate the length of \(AD\).
  3. Calculate the area of triangle \(BCD\).
  4. A girl, on the seesaw, was looking at an apple. Find her angle of elevation.
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Answer:(i) \(40^\circ\) (ii) \(65.3\text{ m}\) (iii) \(402\text{ m}^2\) (iv) \(5.7^\circ\)

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