Question

find cos(m) given the triangle. enter your answer as a fraction or as a decimal rounded to three decimal places. draw triangle with right angle, side 9, side 40, hypotenuse 41, angle m at the left vertex

Explanation:

Step1: Recall cosine definition for right triangles

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

Step2: Identify sides for angle $m$

Adjacent side to $m$: $9$, Hypotenuse: $41$

Step3: Calculate $\cos(m)$

$\cos(m) = \frac{9}{41} \approx 0.220$

Answer:

$\frac{9}{41}$ or $0.220$