Question

score: 0/10 current time: 5.0
find: \\( \cos a \\)
right triangle with right angle, vertical leg labeled 51 (side b), horizontal leg labeled 68 (side a), hypotenuse labeled 85
\the figure is not drawn to scale\
answer
options: \\( \frac{51}{68} \\), \\( \frac{68}{85} \\), \\( \frac{51}{85} \\), \\( \frac{68}{51} \\)

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}$ for an acute angle $\theta$.

Step2: Identify sides for angle A

For $\angle A$, adjacent side is 68, hypotenuse is 85.

Step3: Calculate $\cos A$

$\cos A = \frac{\text{adjacent to } A}{\text{hypotenuse}} = \frac{68}{85}$

Answer:

$\frac{68}{85}$ (corresponding to the option with $\frac{68}{85}$)