Question

Please help this question finding a side on a triangle

Answer 1

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:

$\cos 56^{\circ} = \frac{7.4\,cm}{x}$ (1)

Where $x$ is the length of the hypotenuse, measured in centimeters.

Then, we clear the variable within (1):

$x = \frac{7.4\,cm}{\cos 56^{\circ}}$

$x = 13.233\,cm$

The side of the hypotenuse is 12.233 centimeters.