Question

express cos m as a fraction in simplest terms.

Explanation:

Step1: Recall cosine definition

For acute angle $M$, $\cos M = \frac{\text{adjacent to } M}{\text{hypotenuse}}$

Step2: Identify sides for angle M

Adjacent to $M$: $ML = 9$, Hypotenuse: $MK = 15$

Step3: Simplify the fraction

$\cos M = \frac{9}{15} = \frac{3}{5}$

Answer:

$\frac{3}{5}$