Question

Find QS if RS =22 AND ∅=63° round to the nearest hundredth

Answer 1

To find QS we use Trig ratio

The line that teta faces normally is the opposite so that QS is the opposite, RS is the adjacent and QR Is the hypothenus

since we are searching for the opposite while we are given one side and an angle

we use

$\text{tan}\theta\text{ =}\frac{opposite}{adjacent\text{ }}=\text{ }\frac{QS}{RS}$$\begin{gathered} \tan 63\text{ = }\frac{QS}{22} \\ QS\text{ = tan 63 x 22} \end{gathered}$

QS = 43.17743112

To the nearest hundredths it is 43.18 units