Question

find ef
write your answer as an integer or as a decimal rounded to the nearest tenth.
ef =
submit

Explanation:

Step1: Use sine function

In right - triangle \(EFG\), \(\sin G=\frac{EF}{EG}\). Given \(EG = 6\) and \(G = 56^{\circ}\).

Step2: Solve for \(EF\)

\(EF=EG\times\sin G\). Substitute \(EG = 6\) and \(G = 56^{\circ}\) into the formula. \(\sin(56^{\circ})\approx0.829\). Then \(EF = 6\times0.829=4.974\approx5.0\)

Answer:

\(5.0\)