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

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Question: A person walks 6 km east, then 8 km north. 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 east and then north.

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

Practice Questions

Q1
A person walks 6 km east, then 8 km north. 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 east, then 8 km north. What is the angle between his starting point and his final position?
  • Step 1: Understand the directions. The person walks 6 km to the east and then 8 km to the north.
  • Step 2: Visualize the path. Imagine a straight line going east and then a straight line going north, forming a right angle.
  • Step 3: Identify the angle formed. The angle between the eastward path and the northward path is a right angle.
  • Step 4: Conclude the angle. A right angle measures 90 degrees.
  • Vector Addition – Understanding how to combine movements in different directions to determine final position.
  • Right Triangle Properties – Using the properties of right triangles to find angles based on the movement directions.
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