Question

Find BC. Round to the nearest tenth.
с
A
48°
82°
34 ft
B

Answer 1

A) 33 ft

Explanation:

With two angles and one side given, we should use the Law of Sines:

`\displaystyle (\sin A)/(a)=(\sin B)/(b)=(\sin C)/(c)\\\\\frac{\sin 48^\circ}{\overline{BC}}=(\sin 130^\circ)/(34)\\\\34\sin48^\circ=\overline{BC}\sin130^\circ\\\\\overline{BC}=(34\sin48^\circ)/(\sin130^\circ)\\\\\overline{BC}\approx 33`