Find RS.
Find TU.
Any help is appreciated! (:
Let x denote PR, then RQ = 50-x. Using the tangens function you can set up 2 equations:
$\displaystyle |\overline{RS}| = \dfrac{x}{\tan(32^\circ)}$ ..... and ..... $\displaystyle |\overline{RS}| = \dfrac{50-x}{\tan(26^\circ)}$
Set equal the RHS of the two equations and solve for x, afterwards you can use one of the two equations to get the length of RS. I've got $\displaystyle |\overline{RS}| \approx 44.94$
I've modified your sketch a little bit. (see attachment)Find TU.
According to the drawing you can set up 2 equations:
$\displaystyle \tan(53.8^\circ)=\dfrac xy$ ..... and ..... $\displaystyle \tan(38.8^\circ)=\dfrac{x}{y+12.5}$
Solve the second equation for y, plug in this term into the first equation and solve for x.
I've got $\displaystyle |\overline{TU}| = x \approx 24.42$