Answer:
x = 65.03°
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
![cos(x) = (19)/(45)](https://img.qammunity.org/2022/formulas/mathematics/college/9mfnzkum9xzocp3dq7loekd9rlozqpx48q.png)
![x = cos^(-)((19)/(45))](https://img.qammunity.org/2022/formulas/mathematics/college/tw5z7med5ozy7yk1xe7dbwsv142w7p6orm.png)
x = 65.0250346°
x = 65.03° (nearest hundredth)