Question

help
I want the step by step explanation!!​

Answer 1

Answer: 0.539267

Step-by-step explanation:

you want to find BC/AB , which is a/c (lowercase letters, looking at picture. i included the angle for B but it isnt needed for this question)

since this isn't a right triangle, we can't use the Pythagorean theorem, but we can use the law of sines to find this

$\frac{sin<A}{a} =\frac{sin<C}{c}$

rearrange to get

$\frac{sin<A}{sin<C} =\frac{a}{c}$

since we know <A = 22 degrees and <C = 44 degrees, plug these values into the calculator to get

$\frac{a}{c} =\frac{sin22}{sin44} =0.539267$

so the answer is 0.539267

disclaimer - picture is not to scale