Question

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

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 $\angle U$

Adjacent side to $\angle U$ is $UW = 5$, hypotenuse is $UV = 13$.

Step3: Calculate $\cos(U)$

$\cos(U) = \frac{\text{adjacent}}{\text{hypotenuse}} = \frac{5}{13}$

Answer:

$\frac{5}{13}$