Question

find the cosine of $\angle h$. simplify your answer and write it as a proper fraction, improper fraction, or whole number. $\cos(h) = \square$

Explanation:

Step1: Recall cosine definition

For an acute angle in a right triangle, $\cos(\theta) = \frac{\text{adjacent side}}{\text{hypotenuse}}$

Step2: Identify sides for $\angle H$

Adjacent side to $\angle H$: $HI = 5$, Hypotenuse: $HG = 13$

Step3: Calculate $\cos(H)$

$\cos(H) = \frac{\text{Adjacent to } \angle H}{\text{Hypotenuse}} = \frac{5}{13}$

Answer:

$\frac{5}{13}$