B. 6.1 yards.
Step-by-step explanation:
We have been given an image of a triangle and we are asked to find the length of segment ST.
To find the length of segment ST we will use law of sines.
, where a, b and c are the lengths of sides corresponding to angle A, B and C respectively.
Upon substituting our given values we can set an equation to find the length of ST.
![\frac{ST}{sin(R)}=\frac{SR}{sin(T)}](/tpl/images/0213/0534/7fcdb.png)
![\frac{ST}{sin(59^{\circ})}=\frac{7}{sin(79^{\circ})}](/tpl/images/0213/0534/1bd50.png)
![\frac{ST}{0.857167300702}=\frac{7}{0.981627183448}](/tpl/images/0213/0534/32f84.png)
![\frac{ST}{0.857167300702}=7.1310168646840584](/tpl/images/0213/0534/2e090.png)
![ST=7.1310168646840584\times 0.857167300702](/tpl/images/0213/0534/6fe07.png)
![ST=6.11247447716167\approx 6.1](/tpl/images/0213/0534/8532e.png)
Therefore, the length of segment ST is 6.1 yards and option B is the correct choice.