Answer:
The side of the hypotenuse is 12.233 centimeters.
Step-by-step explanation:
The triangle presented in the figure represents a right triangle, we know an angle and a leg adjacent to such angle and we need to determine the length of the hypotenuse, which is found by this trigonometric relation:
[tex]\cos 56^{\circ} = \frac{7.4\,cm}{x}[/tex] (1)
Where [tex]x[/tex] is the length of the hypotenuse, measured in centimeters.
Then, we clear the variable within (1):
[tex]x = \frac{7.4\,cm}{\cos 56^{\circ}}[/tex]
[tex]x = 13.233\,cm[/tex]
The side of the hypotenuse is 12.233 centimeters.
