Answer:
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.
[tex]\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex], 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.
[tex]\frac{ST}{sin(R)}=\frac{SR}{sin(T)}[/tex]
[tex]\frac{ST}{sin(59^{\circ})}=\frac{7}{sin(79^{\circ})}[/tex]
[tex]\frac{ST}{0.857167300702}=\frac{7}{0.981627183448}[/tex]
[tex]\frac{ST}{0.857167300702}=7.1310168646840584[/tex]
[tex]ST=7.1310168646840584\times 0.857167300702[/tex]
[tex]ST=6.11247447716167\approx 6.1[/tex]
Therefore, the length of segment ST is 6.1 yards and option B is the correct choice.
