4.
Figure 1
Figure 1 shows a sketch of triangle \(A B C\) with \(A B = ( x + 2 ) \mathrm { cm } , B C = ( 3 x + 10 ) \mathrm { cm }\), \(A C = 7 x \mathrm {~cm}\), angle \(B A C = 60 ^ { \circ }\) and angle \(A C B = \theta ^ { \circ }\)
- Show that \(17 x ^ { 2 } - 35 x - 48 = 0\)
- Hence find the value of \(x\).
- Hence find the value of \(\theta\) giving your answer to one decimal place.