Answer:
Both Andre and Mai are correct
Step-by-step explanation:
A drawing of the the triangle ΔABC is created with MS Visio and attached here
In the drawing, we have;
Segment AB = x
Segment AC = 6
By trigonometric ratio, in a right triangle we have;
[tex]Tan(\angle X) = \dfrac{The \ length \ of \ the \ opposite \, side \ to \ \angle X }{The \ length \ of \ the \ adjacent\, side \ to \ \angle X}[/tex]
Where 'X' = 12° as shown in the figure, we have;
[tex]tan(12 ^{\circ}) = \dfrac{AB}{BC} = \dfrac{x}{6}[/tex]
Therefore, Andre is correct
Similarly, we have;
[tex]tan(78 ^{\circ}) = \dfrac{BC}{AB} = \dfrac{6}{x}[/tex]
Therefore, Mai is also correct
Therefore, Andre and Mai are correct.
