Answer:
The correct option is D.
Step-by-step explanation:
It is given that the clown’s face on the top of a spinner. The tip of his hat rotated to (-2, 5) during one spin.
In the point (-2,5), x-coordinate is negative and y-coordinate is positive, it means the point lies in 2nd quadrant. In 2nd quadrant cosine values are negative.
From the below figure it is clear that triangle ABO is a right angled triangle, with perpendicular 5 and base 2.
According to the Pythagoras theorem,
Taking square root both the sides.
In a right angled triangle,
Substitute Base=2 and in the above equation.
Rationalize the denominator.
In 2nd quadrant cosine values are negative. So,
Therefore the correct option is D.