The picture shows a barn door: A barn door has two parallel bars. A support AB runs across the diagonal between the two parallel
bars. The angle made by the diagonal with the parallel bar on top is 60 degrees. The distance between the two parallel bars is 9 feet. What is the length of the support AB? 9 divided by tan 60 degrees 9 sin 60° 9 cos 60° 9 divided by sin 60 degrees
2 answers:
Answer:
Step-by-step explanation:
REFER THE ATTACHED FIGURE
Given :
AC and DB are parallel bars .
AB is the diagonal between two parallel bars .
The angle made by the diagonal with the parallel bar on top is 60 degrees.
The distance between the two parallel bars is 9 feet.
To Find : What is the length of the support AB?
Solution :
For ∠BAC = 60° base is AC and perpendicular is BC
Using trigonometric ratios i.e.
Thus Option 4 is correct
Length of support AB = 9 divided by sin 60 degrees
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Treat 
as the boundary of the region 
, where is the part of the surface 
bounded by . We write
with
.
By Stoke's theorem, the line integral is equivalent to the surface integral over of the curl of 
. We have
so the line integral is equivalent to
where
is a vector-valued function that parameterizes . In this case, we can take
with
and 
. Then
and the integral becomes
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with
By Stoke's theorem, the line integral is equivalent to the surface integral over
so the line integral is equivalent to
where
with
and the integral becomes