Question

What is the length of ST¯¯¯¯¯, to the nearest tenth of a yard?

Answer 1

6.1.............................

Answer 2

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.

$\frac{a}{sin(A)}=\frac{b}{sin(B)}=\frac{c}{sin(C)}$, 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.

$\frac{ST}{sin(R)}=\frac{SR}{sin(T)}$

$\frac{ST}{sin(59^{\circ})}=\frac{7}{sin(79^{\circ})}$

$\frac{ST}{0.857167300702}=\frac{7}{0.981627183448}$

$\frac{ST}{0.857167300702}=7.1310168646840584$

$ST=7.1310168646840584\times 0.857167300702$

$ST=6.11247447716167\approx 6.1$

Therefore, the length of segment ST is 6.1 yards and option B is the correct choice.