Solve the right triangle. Round decimal answers to the nearest tenth.

Below

Step-by-step 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