In ∆ABC, AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?
Answer provided by our tutors
we are given two angles and one side (which is not between the angles)
we find the angle m A by using 'angles of a triangle add to 180°':
m A = 180 - (m B + m C)
m A = 88°
we can find side BC by using The Law of Sines:
BC/sin A = AC/sin B
BC/sin 88° = 15/ sin 68°
BC = 15*sin 88° / sin 68°
BC = 16.19 cm.