Question

You walk 53 m to the north, then you turn 60° to your right and walk another 45 m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.

Answer 1

The direction of your displacement vector is 67.16° north of east.

Step-by-step explanation:

To determine the direction of your displacement vector, we can use trigonometry and vector addition. First, let's break down the given information:

• You walk 53 m to the north, which can be represented as a displacement vector of 53 m in the direction of 90° (north).
• You then turn 60° to your right, which means you are now facing northeast (northeast is 45° north of east).
• Lastly, you walk another 45 m in this direction.

To find the total displacement, we can add the displacement vectors together:

53 m (90°) + 45 m (45° north of east) = 98.89 m (67.16° north of east)

Therefore, the direction of your displacement vector is 67.16° north of east.