Question

In ∆ABC, AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?

6.58 centimeters
9.88 centimeters
13.57 centimeters
16.17 centimeters
19.25 centimeters

Answer 1

16.17 cm would be the answer

Answer 2

I dont know which math you are in but you can use the law of sins. (A/sin(a))=(B/sin(b)) where the capital letters are the sides (in this case you would put AC or whatever side length it is) and the lower case letters are the measures on the angles.
that may have been confusing but look up the laws of sines and cosine because you'll need to learn them and it's very helpful.
15/sin68 = x/sin88 x is the side BC and to get angle A, do 180-68-24
so x= sin88 (15/sin68)
so the answer to this question would be 16.17 cm