Understanding Vector Angles

What is the primary reason for finding the angle of a resultant vector?

• To find the length of the vector

• To calculate the speed of the vector

• To understand the direction of the vector

• To determine the magnitude of the vector

Which trigonometric function is used to find the angle when you have the opposite and adjacent sides of a right triangle?

• Sine

• Cosine

• Tangent

• Secant

In the example of adding vectors 10 to the right and 5 down, what is the angle of the resultant vector?

• 30 degrees

• 26.6 degrees

• 60 degrees

• 45 degrees

What is the resultant velocity when swimming across a river at 3 m/s with a current of 5 m/s?

• 8 m/s

• 5.8 m/s

• 3 m/s

• 5 m/s

At what angle does the swimmer move in the river when the current is 5 m/s downstream?

• 45 degrees

• 30 degrees

• 59 degrees

• 90 degrees