In ∆ABC, AC = 15 centimeters, m B = 68°, and m C = 24°. What is BC to two decimal places?
A. 6.58 centimeters B. 9.88 centimeters C. 13.57 centimeters D. 16.17 E. 19025 centimeters

Question

In ∆ABC, AC = 15 centimeters, m  B = 68°, and m  C = 24°. What is BC to two decimal places? 
A. 6.58 centimeters B. 9.88 centimeters C. 13.57 centimeters D. 16.17 E. 19025 centimeters

campbell_st · Answer

start by finding x... using angle sum of a triangle

|dw:1432931685475:dw|

anonymous · Answer

88?

campbell_st · Answer

then use the law of sines 

|dw:1432931827013:dw|

$$\frac{15}{\sin(68)} = \frac{BC}{\sin(x)}$$

hope it helps