No homework today! *hysterical sobbing from students who love math*
A sine deals with a right angle triangle and is opposite over hypotenuse.
Let's explore with triangles that have no right angles!
sinA = h/c, so c x sinA = h
sinC = h/a, so a x sinC = h
Law of sines (know this for next quiz!):
sinA/a = sinB/b = sinC/c
examples:
sin68°/b = sin37° x b/3
Find distance around the outside:
6/sin32° = x/sin88°
x = 11.3, so distance is 12 + 22.6