Question

Find PR.Write your answer as an integer or as a decimal rounded to the nearest tenth. PR = ___

Answer 1

In triangle PQR, RQ is 4 units and angle P is 29 degrees.

Use the trigonometric ratio of tan to find PR as follows:

$\begin{gathered} \tan 29=\frac{RQ}{PR} \\ PR=\frac{RQ}{\tan 29} \\ PR=\frac{4}{0.5543090} \\ PR=7.21619 \\ PR\approx7.2 \end{gathered}$

Hence the value of PR is 7.2 rounded to one decimal place.