Respuesta :

Answer:

The angle between the two sides of the right triangle is aproximately 31.003º.

Step-by-step explanation:

From image attached on question we infer that we need to find the angle between sides of lengths 6 (adjacent leg) and 7 (hypotenuse) in the right triangle. The angle can be found by means of this trigonometric ratio:

[tex]\cos \alpha = \frac{6}{7}[/tex]

[tex]\alpha = \cos^{-1} \frac{6}{7}[/tex]

[tex]\alpha \approx 31.003^{\circ}[/tex]

The angle between the two sides of the right triangle is aproximately 31.003º.