Question

There is a clown's face on the top of a spinner. The tip of his hat rotates to (−2, 5) during one spin. What is the cosine value of this function?

−2


5


5 square root of 29 over 29


negative 2 square root of 29 over 29

Answer 1

The last choice is your answer

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.
`5^2+(-2)^2=c^2`

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
`-(2√(29) )/(29)`