Problema Solution

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 provided by our tutors

m A = 180 - (m B + m C)


m A = 180 - (68 + 24)


m A = 88 degrees


using the Law of sines we have:


BC/sin(88) = AC/sin(68)


BC = 15*(sin(88)/sin(68))


BC = 16.17 cm


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