Answer:
s = 11.4
Step-by-step explanation:
The following data were obtained from the question:
Angle S = 60°
Opposite S = s =?
Opposite U = u = 13
Opposite T = t = 5
Thus, from the data obtained from the question, we can calculate the value of s by using cosine rule as shown below:
s² = u² + t² – 2ut Cos S
s² = 13² + 5² – 2 × 13 × 5 × Cos 60
s² = 169 + 25 – 130 × 0.5
s² = 194 – 65
s² = 129
Take the square root of both side.
s = √129
s = 11.4
Therefore, the value of s is 11.4