Question

This is my very first trig problem and I'd like to know how to tackle this. Please explain how I can do problems like these in the future!

Answer 1

$\tan(50°) = \frac{QR}{PQ} \Leftrightarrow QR = PQ \tan(50°) = 8.1 \tan(50°) \approx9.65 \\ \cos(50°) = \frac{PQ}{PR} \Leftrightarrow PR = \frac{PQ}{\cos(50°)} = \frac{8.1}{\cos(50°)} \approx12.6$