The angle of a resultant vector is given by the equation
Explanation:
When we compute the resultant vector starting from 2 (or more) vectord, we add the components along the x- and y- direction of the original vectors, in order to find the component of the resultant vector along the two directions.
Let's call:
the component of the resultant vector along the x-direction
the component of the resultant vector along the y-direction
The magnitude of the resultant vector is then given by Pythagorean's theorem:
While the angle can be found by taking the arctangent of the ratio between the y-component and the x-component, mathematically:
Note that this angle is measured between the resultant vector and the positive direction of the x-axis.
Learn more about vector components:
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If your choices are the following:
<span>
A faultblock mountain
A folded mountain
A hotspot volcano
A volcanic arc
</span>
Then the answer is A folded mountain. It is formed when an earthquake happened and this was the result of the movement of the plates.
Total displacement along the length of mountain is given as
L = 235 m
angle of mountain with horizontal = 35 degree
now we will have horizontal displacement as
x = L cos35
x = 235 cos35 = 192.5 m
similarly for vertical displacement we can say
y = L sin35
y = 235 sin35 = 134.8 m
5. 3,300 roughly. That should be right around there.