Answer:
cos(Θ) = 84/85
Step-by-step explanation:
See the attachment.
Sine is opposite divided by hypotenuse. Here, the "opposite" side is -13 and the hypotenuse is 85. Cosine is adjacent divided by hypotenuse. The "adjacent" side is the unlabelled length. We find this by using the Pythagorean Theorem:
b = [tex]\sqrt{85^2-(-13)^2} =\sqrt{7225-169} =\sqrt{7056} =84[/tex]
So, cos(Θ) = 84/85
Hope this helps!
