Question 1
A scout is traveling on a bearing of East (90°). If it turns 45° clockwise, what is its new bearing?
Starting bearing: 90°. Clockwise turn of 45° → 135° = Southeast.
Direction Sense - Intermediate-Advanced Level: path following INTERMEDIATE-ADVANCED
Strategic expert challenge ★ for direction sense: 20 intermediate-advanced-level problems. Worksheet 19 of 30 - Focus: path following. Develop expertise in direction changes, cardinal points, intermediate directions with step-by-step solutions. Ideal for advanced developing learners targeting advanced concepts with increasing complexity.
What you'll learn in this worksheet:
- Achieve proficiency in direction changes by completing this worksheet
- Develop strong cardinal points skills with practical problems
- Improve your direction sense solving speed through expert challenge ★
- Gain confidence in identifying intermediate directions patterns
- Master real-world applications of path following
Your progress through Direction Sense
Worksheet 19 of 30 (63% complete)
Question 2
A 13m tall person is standing outside at 6:00 morning. If the sun's rays make a 30° angle with the ground, and his shadow falls towards West, what is the length of his shadow?
Shadow length = height × tan(angle) = 13 × tan(30°) = 7.5 m. Shadow direction: West (sun in opposite direction).
Question 3
A person walks 20m South, then 38m East. What is the shortest distance between his starting and ending points?
Net displacement: (38, -20). Shortest distance = √(38² + -20²) = 42.9 m.
Question 4
A 16m tall person is standing outside at 6:00 morning. If the sun's rays make a 30° angle with the ground, and his shadow falls towards West, what is the length of his shadow?
Shadow length = height × tan(angle) = 16 × tan(30°) = 9.2 m. Shadow direction: West (sun in opposite direction).
Question 5
An airplane is traveling on a bearing of South (180°). If it turns 315° anticlockwise, what is its new bearing?
Starting bearing: 180°. Anticlockwise turn of 315° → 225° = Southwest.
Question 6
A person is initially facing North. He turns right, left, and then right. Which direction is he finally facing?
Start: North. right → left → right → Final: East.
Question 7
At 6:00 PM (sunset), the sun is in the West. If a person is facing West, where will his shadow fall?
At 6:00 PM (sunset), sun is in West. Shadow falls opposite to sun. From West, shadow direction = East.
Question 8
A person is initially facing South. He turns left and then right. Which direction is he finally facing?
Start: South. left → right → Final: South.
Question 9
A person is initially facing South. He turns right, right, left, right, and then right. Which direction is he finally facing?
Start: South. right → right → left → right → right → Final: East.
Question 10
A person starts at point A and walks 6m towards East, then 21m towards South, then 17m towards North. What is his final position relative to point A?
Net displacement: 6m East-West, -4m North-South. Final direction: East, distance: 7.2m.
Question 11
A person starts at point A and walks 24m towards West, then 12m towards South, then 14m towards South. What is his final position relative to point A?
Net displacement: -24m East-West, -26m North-South. Final direction: South, distance: 35.4m.
Question 12
A person is facing East. If he turns left, which direction is he now facing?
Turning left from East means rotating 90° left. From East, left leads to North.
Question 13
A person is facing East. He reverses his direction. Which direction does he face now?
Reversing direction means turning 180°. From East, the opposite direction is West.
Question 14
A person intends to walk West. The wind is coming from the West. How does the wind affect his movement direction?
Wind from West blows East, directly opposite to intended direction West. Person struggles to move forward.
Question 15
A person walks 12m South, then 18m South, then 28m West. What is the shortest distance between his starting and ending points?
Net displacement: (-28, -30). Shortest distance = √(-28² + -30²) = 41.0 m.
Question 16
A man is facing East. He turns right. What direction is opposite to the direction he is now facing?
After turning right from East, he faces South. The opposite of South is North.
Question 17
At 12:00, the hour hand points exactly towards North. If a person is facing West, where is the hour hand relative to him?
At 12:00, hour hand is at North (0.0°). Person faces West (270°). Angular difference: 90.0°. The hour hand is to his left.
Question 18
A 19m tall person is standing outside at 9:00 morning. If the sun's rays make a 15° angle with the ground, and his shadow falls towards West, what is the length of his shadow?
Shadow length = height × tan(angle) = 19 × tan(15°) = 5.1 m. Shadow direction: West (sun in opposite direction).
Question 19
X is 13m North of P. B is 11m West of P. What is the position of B relative to X?
Position of X: (0,0). P: (0, 13). B: (-11, 13). B - X = (-11, 13) → North, 17.0m.
Question 20
A person is facing East. He turns 180°. Which direction does he face now?
A 180° turn reverses direction. From East, turning 180° leads to West.
🎯 Stay focused! Worksheet 19 targets path following.