Question

Solve triangle QRS with the given parts. q = 9.10, r = 18.2, Q = 30.0°

Answer 1

Given:

q = 9.10, r = 18.2, Q = 30 degrees

Required: Solve triangle QRS

Step-by-step explanation:

By using the Sine rule,

`(\sin Q)/(q)=(\sin R)/(r)=(\sin S)/(s)`

Plug the given values.

`(\sin30\degree)/(9.10)=(\sin R)/(18.2)=(\sin S)/(s)`

Consider

`(\sin30\degree)/(9.10)=(\sin R)/(18.2)`

Solve for R.

`\begin{gathered} (0.5)/(9.10)=(\sin R)/(18.2) \\ \sin R=(0.5*18.2)/(9.10) \\ =1 \\ \implies R=90\degree \end{gathered}`

Now, use the fact that the sum of the interiorn angles od a r