Question

Find the value of cos X rounded to the nearest hundredth, if necessary.

X
9
Y
√8
N

Answer 1

Answer: 0.95

Explanation:

Rule:

Cos ∅ = adjacent/hypotenuse

adjacent/opposite/hypotenuse are always relative to the angle being used

Hypotenuse is always longest and across from the right angle

adjacent is next to the angle that is not the hypotenuse

opposite is across

Here.

cos X = adjacent/hypotenuse

They didn't give you the adjacent angle to <X so you need to solve for it using pythagorean

9²=(√8)²+x²

x²=81-8

x²=73

x=√73

now we know what adjacent side is

cos x =
`(√(73) )/(9)`

cos x = 0.95