[Images Attached] What is the value of cosΘ in the diagram below?

Option a: is the value of

Explanation:

From the diagram, we can see the coordinates (0.6,0.8) which is the value of x-coordinate and y-coordinate.

To determine the value of , we shall use the formula for which is given by

Here, the adjacent side is the x-coordinate which gives the value 0.6 and the hypotenuse which gives the value

Thus, substituting the values of x-coordinate and the hypotenuse, we get,

Dividing, we get,

Writing it as fraction, we have,

Thus, the value of is

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a