The question describes a right triangle with one of the angles as 69 degrees and the side adjacent to the angle 69 degrees is of length 442 m. We are to find the length of the side opposite the angle 69 degrees. Let the distance of the monkey from the tower be x.
Recall that: [tex] \tan{\theta}=\cfrac{opp}{hyp} [/tex]
Thus,
[tex] \tan{69^o}=\cfrac{x}{442}\\ \\ \Rightarrow x=442\tan{69^o}=1,151.45 [/tex]
