Question

find the cosine of ∠b. simplify your answer and write it as a proper fraction, improper fraction, or whole number. cos(b) =

Explanation:

Step1: Recall cosine definition

For an acute angle in a right triangle, $\cos(\theta) = \frac{\text{adjacent side}}{\text{hypotenuse}}$

Step2: Identify sides for $\angle B$

Adjacent to $\angle B$: $BD = 10$; Hypotenuse: $BC = 26$

Step3: Substitute and simplify

$\cos(B) = \frac{10}{26} = \frac{5}{13}$

Answer:

$\frac{5}{13}$