Answer:
14 in.
Step-by-step explanation:
well to start we have to know the relationships between angles, legs and the hypotenuse.
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
now as we know that the triangle that is formed has a right angle of 90 degrees, and two other angles that are 30 and 60 degrees.
We can know this by the properties of the hexagons
hexagon is formed by 6 equilateral triangles
equilateral triangles have 3 angles of 60 degrees
the triangle of the image is half of one of those triangles so it will have the upper angle of 30 and the other of 60
Now if we take the angle of 30 degrees and apply the following formula
sin α = o/h
cos 30 = a/h
0.866 = 12/h
h = 12/0.866
h = 13.8564
h = c
the nearest number is 14
