9-3 & 9-4 & 9-5

In lesson 9-3, you learned about Law of Sines. When you dont have a right triangle you are going to want to use the Law of Cosines, because you can't use SOHCAHTOA. You are only going to be able to figure the triangle out correctly is if you know the opposite leg and angle value. We learned that our final result is Law of Cosines. We do Law of cosines when you do not have a pair in a non-right triangle. We also learned navigation in lesson 9-5 which also ties in with the different Laws. In Navigation it depends what quadrant you land in as to which direction you are pointed. If your in quadrant one then your north east. If your in quadrant two then your north west. If your in quadrant three then your south west.

FORMULA:
sin(angle)/ opposite leg=sin(angle2 / opposite leg 2
Ex.
A=50(degrees

) B=55(degrees) a=10
now you are going to draw your triangle
now subtract 50 and 55 from 180 to give you your third angle.
C= 75(degrees)
use the formula
sin75 / 10=sin50/x
xsin75= 10sin50
10sin50/ sin75
= 10.249