Using the measurements given in the following figure, the value of $$\frac{{\sin \phi + \tan \theta }}{{\sin \phi - \tan \theta }}$$   is . . . . . . . .

Solution (By Examveda Team)

$$\eqalign{ & \Rightarrow \frac{{\sin \phi + \tan \theta }}{{\sin \phi - \tan \theta }} \cr & = \frac{{\frac{5}{{13}} + \frac{{12}}{9}}}{{\frac{5}{{13}} - \frac{{12}}{9}}} \cr & = \frac{{15 + 52}}{{39}} \times \frac{{39}}{{15 - 52}} \cr & = - \frac{{67}}{{37}} \cr} $$