Question 1
Study the following path and answer the question:
A person starts from point X and walks 12 km North.
He then turns left and walks 5 km.
He then turns left and walks 8 km.
He then turns right and walks 3 km.
He then turns right and walks 4 km.
Question: What is the shortest distance between the start point and the end point?
Direction Sense Strategy
Step 1: Track position on coordinate grid (East = +x, North = +y)
Start at (0,0) facing North
Step 1: Move +12 in y-direction → position updates
Step 2: Move -5 in x-direction
Step 3: Move -8 in y-direction
Step 4: Move +3 in x-direction
Step 5: Move +4 in y-direction → position updates
Final Position: (-2, 8)
Final Facing Direction: North
Answer to question: 8.2
Step 1: Track position on coordinate grid (East = +x, North = +y)
Start at (0,0) facing North
Step 1: Move +12 in y-direction → position updates
Step 2: Move -5 in x-direction
Step 3: Move -8 in y-direction
Step 4: Move +3 in x-direction
Step 5: Move +4 in y-direction → position updates
Final Position: (-2, 8)
Final Facing Direction: North
Answer to question: 8.2