For the following questions answer them individually
If tan $$\ \theta\ $$= $$\ \frac{2}{3}\ $$, then what is the value of $$\ \frac{15sin^{2} \theta-3cos^{2} \theta}{5sin^{2} \theta+3cos^{2} \theta}$$?
What is the simplified value of  $$\ \frac{7}{sec^{2} \theta}+ \frac{3}{1+cot^{2} \theta}+ 4\ sin^{2} \theta$$?
Two posts are 4 m apart. Both posts are on same side of a tree. If the angles of depressions of these posts when observed from the top of the tree are $$45^\circ$$ and $$60^\circ$$ respectively, then what is the height of the tree?
The given pie chart shows the runs scored by 5 players in a match.
If runs scored by Rahane is 50% of the runs scored by Yuvraj, then runs scored by Rahane is what percent of total runs scored by Kohli, Pujara and Dhoni?