Question

Express your answer exactly

Answer 1

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 = $\sqrt{85^2-(-13)^2} =\sqrt{7225-169} =\sqrt{7056} =84$

So, cos(Θ) = 84/85

Hope this helps!