Answer:
Below
Explanation:
This may be a little messy sorry :/
Find side ML
sin(53) / 6 = sin(37) / ML
MLsin(53) / sin(53) = 6sin(37) / sin(53)
Side ML = 4.5
Now, since you have 2 sides, you can use Pythagorean theorem to solve this, or if you can do it this way. (it takes much longer so I would suggest using Pyth. theorem but this is another example of how to use sine law to solve)
Using sine law:
sin(53) / 6 = sin(90) / NL
NLsin(53) / sin(53) = 6sin(90) / sin(53)
Side NL aka the hypotenuse = 7.5
Using pythagorean theorem to check
a^2 + b^2 = c^2
4.5^2 + 6^2 =
20.25 + 36 = 56.25
You need to square this number (i don't have the symbol sorry)
c = 7.5