To solve this problem, you can use the following diagram as a reference:
To determine the cosine of angle B, recall that in a right triangle:
[tex]cos\alpha=\frac{adjacent\text{ leg}}{hypotenuse}.[/tex]
Therefore:
[tex]cosB=\frac{36}{85}.[/tex]
Rounding the solution to the nearest hundredth, you get:
[tex]cosB\approx0.42[/tex]
Answer:
[tex]0.42[/tex]
