Question

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

Explanation:

Step1: Use cosine function

In a right - triangle, \(\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}\). Here, \(\theta = 63^{\circ}\), the adjacent side \(EG = 4\), and the hypotenuse is \(FG\). So, \(\cos63^{\circ}=\frac{EG}{FG}\).

Step2: Solve for \(FG\)

We can rewrite the formula as \(FG=\frac{EG}{\cos63^{\circ}}\). Since \(\cos63^{\circ}\approx0.454\) and \(EG = 4\), then \(FG=\frac{4}{0.454}\approx8.8\).

Answer:

\(8.8\)