Question

note: triangle is not to scale. in
ight\ triangle abc above, what is the cosine of b? question help: video

Explanation:

Step1: Recall cosine - ratio definition

In a right - triangle, the cosine of an acute angle is the ratio of the adjacent side to the hypotenuse. For angle \(B\), the adjacent side to angle \(B\) is \(BC\) and the hypotenuse is \(AB\).

Step2: Identify the lengths of the sides

We are given that \(BC = 16\) and \(AB=20\).

Step3: Calculate the cosine of angle \(B\)

By the definition of cosine, \(\cos B=\frac{BC}{AB}\). Substituting the values, we get \(\cos B=\frac{16}{20}\).

Answer:

\(\frac{16}{20}\)