Question

score: 2/10 current time: 64.1
find: \\( \cos b \\)
the figure is not drawn to scale
answer
\\( \frac { 18 } { 30 } \\) \\( \frac { 24 } { 18 } \\) \\( \frac { 18 } { 24 } \\) \\( \frac { 24 } { 30 } \\)

Explanation:

Step1: Recall the cosine formula

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

Step2: Identify the sides for angle \(B\)

For angle \(B\), the adjacent side is \(18\) and the hypotenuse is \(30\).

Step3: Calculate \(\cos B\)

Using the formula \(\cos B=\frac{\text{adjacent}}{\text{hypotenuse}}\), we substitute the values: \(\cos B = \frac{18}{30}\)

Answer:

$\frac{18}{30}$