Question

score: 5/10 current time:79.3 find: \\(cos a\\) right triangle with vertical leg 8 (labeled b), horizontal leg 6 (labeled a), hypotenuse 10, right angle at the intersection of legs the figure is not drawn to scale answer options: \\(\frac{6}{10}\\), \\(\frac{8}{10}\\), \\(\frac{8}{6}\\), \\(\frac{6}{8}\\)

Explanation:

Step1: Recall cosine definition

In a right triangle, $\cos\theta = \frac{\text{adjacent side}}{\text{hypotenuse}}$. For $\angle A$, adjacent side is 6, hypotenuse is 10.

Step2: Calculate $\cos A$

$\cos A = \frac{6}{10}$

Answer:

$\frac{6}{10}$ (corresponding to the first option: $\boldsymbol{\frac{6}{10}}$)