By definition, the arc length is given by:
arc = (theta) * (R)
Where,
theta: central angle
R: radius
Substituting values we have:
arc = (π / 5) * (2.8)
Rewriting we have:
arc = ((3.14) / 5) * (2.8)
arc = 1.7584 cm
Round to the hundredth:
arc = 1.76 cm
Answer:
the arc length is:
arc = 1.76 cm
Just multiply 42 by 10 and that gives you 420 , so the real car has a length of 420cm or 4.2 metres :)
Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41
