Vector A has magnitude 37 units and direction, counterclockwise from east, of 12.9 degrees. What is the value of its x component to 1 decimal place?
To find the value of the x-component of vector A, you can use trigonometry.
In this case, since the direction is counterclockwise from east, we can consider the x-axis as the east direction. Since we need to find the x-component, we can use the cosine function, which relates the adjacent side (in this case, the x-component) to the hypotenuse (the magnitude of the vector).
The formula we can use is:
x-component = magnitude * cos(angle)
Plugging in the values:
magnitude = 37 units
angle = 12.9 degrees
First, we need to convert the angle from degrees to radians, since trigonometric functions in most programming languages work with radians. To convert degrees to radians, we use the formula:
radians = degrees * (pi / 180)
Plugging in the value:
radians = 12.9 * (pi / 180)
Now we can calculate the x-component:
x-component = 37 * cos(12.9 * (pi / 180))
Evaluating this expression will give us the value of the x-component of vector A.