Question

timed problem
score: 6/10
current time: 290.4
find: \\( \cos b \\)
the figure is not drawn to scale.
right triangle with leg 60 (opposite to angle a), leg 45 (adjacent to angle a), hypotenuse 75
answer options: \\( \frac{60}{75} \\), \\( \frac{45}{75} \\), \\( \frac{60}{45} \\), \\( \frac{45}{60} \\)

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos\theta = \frac{\text{adjacent side to } \theta}{\text{hypotenuse}}$.

Step2: Identify sides for angle B

For $\angle B$, adjacent side is 60, hypotenuse is 75.

Step3: Calculate $\cos B$

$\cos B = \frac{60}{75}$

Answer:

$\frac{60}{75}$