Question

12 intro to soh - cah - toa day 2 due: december 14 at 8:00 pm grade: 33% hypotenuse identifying trig ratios (diagram), level 1 identifying trig ratios (diagram), level 1 identifying trig ratios (diagram), level 2 identifying trig ratios (diagram), level 2 identifying trig ratios (no diagram) express cos f as a fraction in simplest terms. answer attempt 2 out of 2 cos f =

Explanation:

Step1: Recall cosine formula

In a right - triangle, $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle F$, the adjacent side to $\angle F$ is $GH$ and the hypotenuse is $FH$.

Step2: Identify side lengths

We are given that $GH = 15$ and $FH=25$.

Step3: Calculate cosine value

$\cos F=\frac{GH}{FH}=\frac{15}{25}$.

Step4: Simplify the fraction

$\frac{15}{25}=\frac{15\div5}{25\div5}=\frac{3}{5}$.

Answer:

$\frac{3}{5}$