JAMB Physics 1987 Question 2

Question 2

Scalars and Vectors

A man walks 8 km north and then 5 km in a direction 60° east of north. Find the distance from his starting point.

  1. A.11.36 km
  2. B.12.36 km
  3. C.13.00 km
  4. D.14.36 km
Show the answer and explanation

Answer: A (11.36 km)

Explanation

The angle between the two legs in the triangle is 180° − 60° = 120°. R² = 8² + 5² − 2 × 8 × 5 × cos 120° = 64 + 25 + 40 = 129, so R ≈ 11.36 km.