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Please help! check attachment. This is grade 11 trigonometry

Please help! check attachment. This is grade 11 trigonometry-example-1

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~~~~~~~\tan \theta = \frac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan B = (AC)/(BC)\\\\\\\implies \tan 40^(\circ) = (10)/(a)\\\\\\\implies a = (10)/(\tan 40^(\circ))\\\\\\\implies a= 11.9~ m

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