A wind velocity is measured by the vector (8,3).What is the direction of the vector to the nearest degree?
To determine the direction of a vector, you need to find the angle it makes with the positive x-axis. In this case, the vector (8, 3) represents a wind velocity with a horizontal component of 8 and a vertical component of 3.
To find the angle, you can use trigonometry. The tangent of the angle (θ) is equal to the ratio of the vertical component to the horizontal component (tan θ = y/x). In this case, tan θ = 3/8.
To find the angle, take the inverse tangent (arctan) of this ratio. Using a scientific calculator or trigonometric tables, calculate arctan(3/8). This will give you the angle in radians.
To convert the angle from radians to degrees, multiply it by 180/π. This will give you the angle in degrees.
Therefore, the direction of the vector to the nearest degree is the result you obtained after converting the angle to degrees.