Question

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

3.6 yd

6.1 yd

6.9 yd

8.0 yd



NEED ASAP

Answer 1

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

Answer 2

B. 6.1 yards.

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.

`(a)/(sin(A))=(b)/(sin(B))=(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.

`(ST)/(sin(R))=(SR)/(sin(T))`

`(ST)/(sin(59^(\circ)))=(7)/(sin(79^(\circ)))`

`(ST)/(0.857167300702)=(7)/(0.981627183448)`

`(ST)/(0.857167300702)=7.1310168646840584`

`ST=7.1310168646840584* 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.