IP2U12 Exercise Trigonometry II (also for 3EM U7 Worksheet) Q8

IP2U12 Exercise Trigonometry II (also for 3EM U7 Worksheet) Q8

IP 2

The diagram shows a quadrilateral \(ABCD\).

The length of \(AB\) is \(5\) m, the length \(BC\) is \(8\) m and the length of \(AD\) is \(4\) m.

Angle \(ABC\) is \(60^\circ\) and angle \(ADC\) is \(100^\circ\).

  1. Calculate the length of \(AC\).
  2. Calculate angle \(ACD\).
  3. Find the area of the quadrilateral \(ABCD\), correct to the nearest whole number.
Diagram of quadrilateral ABCD
Diagram of quadrilateral ABCD

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Answer:(i) \(7\text{ m}\) (ii) \(34.2^\circ\) (iii) \(27\text{ m}^2\)

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