\(\frac{1}{3}x - \frac{1}{4}(x + 2) \geq 3x -1\frac{1}{3}\) \(\frac{1}{3}x - \frac{(x + 2)}{12} \geq 3x - \frac{4}{3}\) \(\frac{4x - 3x - 6}{12} \geq 3x - \frac{4}{3}\) \(\frac{x - 6}{12} \geq \frac{3x}{1} - \frac{4}{3}\) \(\frac{x - 6}{12} \geq \frac{9x - 4}{3}\) 3(x - 6) \(\geq\) 12(9x - 4) 3x - 18 \(\geq\) 108x - 48 3x - 108x \(\geq\) -48 + 18 \(\frac{-105x}{-105} \geq \frac{-30}{-105}\) x \(\geq \frac{10}{35}\) x \(\geq\) \(\frac{2}{7}\) (b)(i) C\(B\)A = 108\(^o\) - (90\(^o\) + 35\(^o\)) = 180\(^o\) - 125\(^o\) = 55\(^o\) sin35\(^o\) = \(\frac{|AB|}{66}\) |AB| = 66 x sin30\(^o\) |AB| = 37.856m cos 35\(^o\) = \(\frac{|AC|}{66}\) |AC| = 66 x cos35\(^o\) |AC| = 55.06m Tan52\(^o\) = \(\frac{|AD|}{37.856}\) |AD| = 37.856 x Tan52\(^o\) = 48.45m the height of the tower to 2d.p (ii) Tan A\(C\)D = \(\frac{48.453}{54.06}\) =0.8962 A\(C\)D = tan\(^{-1}\)0.8962 = 41.867\(^o\) Angle of elevation of the tower from C = 35\(^o\) + 41.867\(^o\) = 76.87\(^o\) to 2d.p