Question

find cos(n) given the triangle. enter your answer as a fraction or as a decimal rounded to three decimal places.
draw
right triangle with one leg 12, one leg 35, hypotenuse 37, and angle n at the bottom left vertex

Explanation:

Step1: Recall cosine definition for right triangles

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

Step2: Identify sides for angle $n$

Adjacent side to $n$: $35$, Hypotenuse: $37$

Step3: Calculate $\cos(n)$

$\cos(n) = \frac{35}{37}$

Step4: Convert to decimal (3 places)

$\frac{35}{37} \approx 0.946$

Answer:

$\frac{35}{37}$ or $0.946$