89.8k views
3 votes
In triangle PQR,p=56 , r = 17 and m angle Q=110 Find to the nearest tenth

User GarySabo
by
3.1k points

1 Answer

3 votes

Find q, using the cosine rule


\begin{gathered} q^2=r^2+p^2-2pr\cos Q \\ \end{gathered}
\begin{gathered} q^2=17^2+56^2-2*56*17\cos 110^(\circ) \\ q^2=289+3136-1904*-0.34202014332 \\ q^2=3425+651.206352892 \\ q^2=4076.20635289 \\ q=\sqrt[]{}4076.20635289 \\ q=63.8451748599 \\ q=63.8 \end{gathered}

In triangle PQR,p=56 , r = 17 and m angle Q=110 Find to the nearest tenth-example-1
User Dror Cohen
by
3.4k points