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
Answer:
h = 20.3 cm
Step-by-step explanation:
Apply trigonometric ratio formula to find h.
Reference angle = 40°
Opposite side length = 17 cm
Adjacent side = h
Thus:
Tan (40) = 17/h
h × tan (40) = 17/h × h (multiplication property of equality)
h × tan(40) = 17
(h×tan(40)/tan(40) = 17/tan(40) (division property of equality)
h = 20.3 cm (1 decimal place)
y=9
y=18
Step-by-step explanation:
Step-by-step explanation:
125=125 is corresponding angles are equal
Answer:20πmm
Step-by-step explanation:
each pencil diameter=10mm
each pencil diameter=radius Of The band
Radius of band=10mm
Circumference of band=2 x π x radius
Circumference of band=2xπx10
Circumference of band=20π
The length of band is the circumference Of The band
There length of band is 20πmm
