Answer:
r = 2.7 cm
Step-by-step explanation:
From the figure attached,
To find the value of 'r' we will apply the sine rule in ΔRST,
sin(m∠R) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
sin(20)° = [tex]\frac{r}{SR}[/tex]
sin(20)° = [tex]\frac{r}{8}[/tex]
r = 8sin(20)°
r = 8(0.34202)
r = 2.736
r ≈ 2.7 cm
