ANSWER
5.5
EXPLANATION
We can use the cosine rule to find the missing side length.
The cosine rule is given as;
[tex] {a}^{2} = {b}^{2} + {c}^{2} - 2bc \cos( A) [/tex]
Let the missing side be "a".
Then,
[tex] {a}^{2} = {9}^{2} + {6}^{2} - 2 \times 9 \times 6 \cos(37 \degree) [/tex]
[tex] {a}^{2} = 81+ 36- 86.253[/tex]
[tex] {a}^{2} = 30.74736[/tex]
[tex]a = \sqrt{30.747} [/tex]
[tex]a \approx5.5[/tex]
Therefore the missing side length is approximately 5.5 units to the nearest tenth.
