Question

find fg.

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

Explanation:

Step1: Identify adjacent side/hypotenuse

In right $\triangle FGE$, $\angle F=25^\circ$, hypotenuse $FE=7$, $FG$ is adjacent to $\angle F$.

Step2: Use cosine ratio

Cosine of angle = $\frac{\text{adjacent}}{\text{hypotenuse}}$, so:
$\cos(25^\circ) = \frac{FG}{7}$

Step3: Solve for FG

Rearrange to isolate $FG$:
$FG = 7 \times \cos(25^\circ)$
Calculate $\cos(25^\circ) \approx 0.9063$, then:
$FG \approx 7 \times 0.9063 = 6.3441$

Step4: Round to nearest tenth

Round $6.3441$ to one decimal place: $6.3$

Answer:

6.3