Question

express \\( \cos h \\) as a fraction in simplest terms.
answer
attempt 1 out of 3
\\( \cos h = \\)

Explanation:

Step1: Recall the cosine formula

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

Step2: Identify the lengths

We are given that $HG = \sqrt{23}$ and $HF=5$.

Step3: Calculate $\cos H$

Using the formula $\cos H=\frac{HG}{HF}$, we substitute the values: $\cos H=\frac{\sqrt{23}}{5}$.

Answer:

$\frac{\sqrt{23}}{5}$