Data analysis involving large datasets
The resultant vector is known to have made a 6.3-degree angle with the horizontal force, hence correct option is A.
<h3>How do you determine angle of the resultant vector ?</h3>
The resultant angle between the vectors is given by
θ =
= 
Note that the two forces are said to have the magnitude of 17.3 and 42.5 pounds hence, the angle of the resultant vector is known to be:

= (6.453/58.55)
= 6.2886 degree
= 6.3 degree.
Therefore, in the above scenario, the resultant vector makes a 6.3-degree angle with the horizontal<em> </em>force.
See full question below
Two forces of 17.3 pounds and 42.5 pounds act on a body with an angle of 21.9 degrees between them. The force of 42.5 pounds acts on the body in the horizontal direction. Choose the correct approximation for the direction angle the resultant vector makes with the horizontal force.
a. 6.3
b. 21.9
c. 15.7
d. 10.9
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Answer:
Answer A.
Explanation:
The five main parts are attention, need, satisfaction, visualization and action. Presumption (answer A) is not part of the sequence.
The Pythagoras' theorem and the uniform motion allows to find the answer for the rate of change of distance is
v = 32.3 m / s
The distance is the length of the segment that a white house wing with the helicopter, this can be found using the Pythagoras' theorem
R =
Where R is the distance, x is the horizontal distance where the helicopter flies and y is the vertical distance that corresponds to the flight height
y = 500 m
Since the helicopter flies at constant speed, we can use the uniform motion relation
=
x =
t
Where
is the speed of the helicopter and t is the time
We substitute
r =
Kinematics defines velocity as the change of position in the unit of time
This expression is the change in distance as a function of time for a given speed. In the exercise, this speed is requested for a time of one minute, for the helicopter speed of
v = 2km/min (
) (
) = 33.33 m / s
Let's calculate
v =
v = 32.3 m / s
In conclusion using the Pythagoras' theorem and the uniform motion we can find the answer for the rate of change in distance is
v = 32.3 m / s
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