Question

Solve to find missing length

Answer 1

Answer:

$m = 4\sqrt 3\\n = 6$

Step-by-step explanation:

$\tan \: 60 \degree = \frac{n}{2 \sqrt{3} } \\ \\ \sqrt{3} = \frac{n}{2 \sqrt{3} } \\ \\ n = \sqrt{3} \times 2 \sqrt{3} \\ \\ n = 2 \times 3 \\ \\ \huge \red { \boxed{ n = 6}} \\ \\ \cos \: 60 \degree = \frac{2 \sqrt{3} }{m} \\ \\ \frac{1}{2} = \frac{2 \sqrt{3} }{m} \\ \\ m = 2 \times 2 \sqrt{3} \\ \\ \huge \purple{ \boxed{ m = 4\sqrt{3} }}$