Answer:
x = 65.03°
Step-by-step explanation:
To solve for x, we have to apply trigonometric ratio.
Recall: SOH CAH TOA
From the diagram, we know the following:
Reference angle = x
Hypotenuse = 45
Adjacent = 19
Since we know the Hyp and Adj, we would apply CAH, which is:
Cos x = Adj/Hyp
Plug in the values
[tex] cos(x) = \frac{19}{45} [/tex]
[tex] x = cos^{-}(\frac{19}{45}) [/tex]
x = 65.0250346°
x = 65.03° (nearest hundredth)
