Answer: 55°
Step-by-step explanation:
The cosine of an angle x can be calculated by dividing the side adjacent to the angle by the hypotenuse of the right triangle. This is given by the formula:
cos(x) = [tex]\dfrac{adjacent}{hypotenuse}[/tex]
According to the figure, we are given that the length of the adjacent side is 4 and the length of the hypotenuse is 6.9. Let's plug these values into the formula:
cos(x) = [tex]\dfrac{4}{6.9}[/tex]
We can isolate x by taking the inverse cosine:
x = [tex]cos^{-1}( \dfrac{4}{6.9})[/tex]
x = 54.57
Rounded to the nearest degree, x = 55.
The value of x is 55°.
