IP2U12 Exercise Trigonometry II (also for 3EM U7 Worksheet) Q11

The diagram shows a sheet of cardboard \(ABCD\).

\(AD = 10\) cm, \(\angle ABC = 46^\circ\), \(\angle BAC = 75^\circ\), \(\angle ACD = 33^\circ\) and \(\angle ADC = 90^\circ\).

1. Calculate
   1. \(AC\),
   2. \(BC\) and,
   3. the area of the triangle \(ABC\).
2. Triangle \(ADC\) is folded along \(AC\) to form triangle \(AEC\).
   Calculate the length of
   1. \(EC\) and,
   2. \(BE\).