Question

PLZZZZZZ NEED HELP!!!!!!!!

Answer 1

ANSWER

5.5

EXPLANATION

We can use the cosine rule to find the missing side length.

The cosine rule is given as;

${a}^{2} = {b}^{2} + {c}^{2} - 2bc \cos( A)$

Let the missing side be "a".

Then,

${a}^{2} = {9}^{2} + {6}^{2} - 2 \times 9 \times 6 \cos(37 \degree)$

${a}^{2} = 81+ 36- 86.253$

${a}^{2} = 30.74736$

$a = \sqrt{30.747}$

$a \approx5.5$

Therefore the missing side length is approximately 5.5 units to the nearest tenth.