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A person walks 6 km north, then 8 km east. What is the angle between his startin

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Question: A person walks 6 km north, then 8 km east. What is the angle between his starting point and his final position?

Options:

  1. 30 degrees
  2. 45 degrees
  3. 60 degrees
  4. 90 degrees

Correct Answer: 90 degrees

Solution: 

The angle is 90 degrees as he moved north and then east.

A person walks 6 km north, then 8 km east. What is the angle between his startin

Practice Questions

Q1
A person walks 6 km north, then 8 km east. What is the angle between his starting point and his final position?
  1. 30 degrees
  2. 45 degrees
  3. 60 degrees
  4. 90 degrees

Questions & Step-by-Step Solutions

A person walks 6 km north, then 8 km east. What is the angle between his starting point and his final position?
  • Step 1: Understand the person's movement. They walk 6 km north and then 8 km east.
  • Step 2: Visualize the movement on a map. The north movement goes up, and the east movement goes to the right.
  • Step 3: Recognize that the north and east movements form a right angle (90 degrees) at the starting point.
  • Step 4: Conclude that the angle between the starting point and the final position is 90 degrees.
  • Vector Addition – Understanding how to combine movements in different directions to determine the resultant position.
  • Trigonometry – Applying the properties of right triangles to find angles based on the sides of the triangle formed by the movements.
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