Respuesta :

Louli
First, the trigonometric function for calculating the sin, cos and tan of an angle are only applied in right angles triangles. So, the first condition is that the triangle is right-angled.

Second, from the rules of trigonometry, the tan of the angle is calculated as follows:
tan (x) = length of opposite side / length of adjacent side 
Therefore, the second condition is that the length of the side opposite to the desire angle x is 3.1 units while the length of the side adjacent to the desired angle x is 5.2 units

Then, we have tan-1(3.1/5.2) = 30.8 degrees
Since the triangle is right-angled (one of the angles = 90 degrees), therefore, the third angle should be equal to 59.198 degrees

Last but not least, applying the Pythagorean theorem, the length of the hypotenuse of this triangle should be equal to sqrt((3.1)^2+(5.2)^2) =   6.05 units

Answer:

the answer is D

Step-by-step explanation: