Answer:
Therefore 'x' is equal to 65.4°
Step-by-step explanation:
In Right Angle Triangle ABC
∠ B = 90°
AC = Hypotenuse = 12
CB = Adjacent Side = 5
To Find:
∠ C = x
Solution:
In Right Angle Triangle ABC Cosine Identity we have
[tex]\cos C = \frac{\textrm{side adjacent to angle C}}{Hypotenuse}\\[/tex]
Substituting the values we get
[tex]\cos C = \dfrac{CB}{AC}=\dfrac{5}{12}[/tex]
[tex]\angle C = \cos^{-1}(0.4166)=65.37=65.4\°[/tex]
Therefore 'x' is equal to 65.4°
