Answer:
The last choice is your answer
Step-by-step explanation:
Plot your point in an x/y coordinate plane. We are in QII where x is negative and y is positive. From that point, if you drop an altitude to the negative x axis, you have a right triangle with a base measure of -2, a height of 5 and a hypotenuse that is unknown as of right now. We will find it using Pythagorean's Theorem. [tex]5^2+(-2)^2=c^2[/tex]
The length of the hypotenuse is √29. That means that the cosine of that angle is the side adjacent over the hypotenuse. Rationalizing the denominator gives us [tex]-\frac{2\sqrt{29} }{29}[/tex]