ABC- with angles AB, and C and sides AB,BC, and AC, angle B is right 90degree angle, if sin of angle A is 0.5, side BC 8in., what is length of AC

Answer 1

Perhaps you recognized the 30-6-90 triangle (sinØ=1/2 , so Ø=30°)

so just use a simple ratio:
h/2 = 8/1
h = 16

or
sinØ - .5
Ø = 30°
then sin30 = 8/h
h = 8/sin30 = 8/(1/2) = 16