If 5sinθ - 4cosθ = 0, 0° < θ < 90°, then the value of 5 - 2 5 + 3 is:

Answer: Option C

$$\begin{array}{rl}& 5\sin \theta -4\cos \theta =0\\ & 5\sin \theta =4\cos \theta \\ & \frac{\sin \theta }{\cos \theta }=\frac{4}{5}\\ & \tan \theta =\frac{4}{5}\\ & \frac{5\sin \theta -2\cos \theta }{5\sin \theta +3\cos \theta }\\ & =\frac{5\tan \theta -2}{5\tan \theta +3}\\ & =\frac{5\times \frac{4}{5}-2}{5\times \frac{4}{5}+2}\\ & =\frac{2}{7}\end{array}$$