Direction Sense - Advanced Level: displacement ADVANCED

Master direction sense concepts through this hard problem set practice set. Worksheet 26 of 30 contains 20 advanced-level problems. Deep dive into displacement while learning direction changes, cardinal points, intermediate directions. Recommended for advanced learners aiming for complex scenarios and multi-step problems.

📝 Worksheet 26 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Advanced level

What you'll learn in this worksheet:
Your progress through Direction Sense
Worksheet 26 of 30 (86% complete)

Question 1

In the morning, if you are facing the sun, in which direction will your shadow fall?
In the morning, the sun is in the East. Since you are facing the sun, your shadow falls behind you, towards the West.

Question 2

A person wants to go from (0,0) to (6, 4) but there is an obstacle at (3, 3). He can only move North or East. What sequence of directions should he take to avoid the obstacle?
Direct path blocked at (3, 3). Detour: first move East to clear obstacle's x-coordinate, then North. Final destination: (6, 4).

Question 3

A man is facing South. He turns left. What direction is opposite to the direction he is now facing?
After turning left from South, he faces East. The opposite of East is West.

Question 4

A person is initially facing West. He turns right, right, right, and then right. Which direction is he finally facing?
Start: West. right → right → right → right → Final: West.

Question 5

A person is facing East. If he looks into a mirror placed to the left of him, which direction does his reflection appear to be facing?
Mirror on left reflects your left side, making you appear to face South.

Question 6

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 7

A person wants to go from (0,0) to (4, 4) but there is an obstacle at (1, 3). He can only move North or East. What sequence of directions should he take to avoid the obstacle?
Direct path blocked at (1, 3). Detour: first move North to clear obstacle's y-coordinate, then East. Final destination: (4, 4).

Question 8

A person is facing South. He turns 180°. Which direction does he face now?
A 180° turn reverses direction. From South, turning 180° leads to North.

Question 9

A man is facing South. He turns right. What direction is opposite to the direction he is now facing?
After turning right from South, he faces West. The opposite of West is East.

Question 10

A person walks 26m West, then 33m North, then 34m West. What is the shortest distance between his starting and ending points?
Net displacement: (-60, 33). Shortest distance = √(-60² + 33²) = 68.5 m.

Question 11

A is 37m North of X. P is 26m West of X. What is the position of P relative to A?
Position of A: (0,0). X: (0, 37). P: (-26, 37). P - A = (-26, 37) → North, 45.2m.

Question 12

A person intends to walk East. The wind is coming from the Northeast. How does the wind affect his movement direction?
Crosswind from Northeast pushes the person left while moving East.

Question 13

A person starts facing West and walks through a labyrinth. He makes the following turns: right, then left, then right. What is his final facing direction?
Starting from West, right, then left, then right leads to North.

Question 14

A 25m tall person is standing outside at 18:00 evening. If the sun's rays make a 30° angle with the ground, and his shadow falls towards East, what is the length of his shadow?
Shadow length = height × tan(angle) = 25 × tan(30°) = 14.4 m. Shadow direction: East (sun in opposite direction).

Question 15

A person walks 19m North, then 27m South, then 35m North. What is the shortest distance between his starting and ending points?
Net displacement: (0, 27). Shortest distance = √(0² + 27²) = 27.0 m.

Question 16

A ship is traveling on a bearing of South (180°). If it turns 225° anticlockwise, what is its new bearing?
Starting bearing: 180°. Anticlockwise turn of 225° → 315° = Northwest.

Question 17

A man is facing West. He turns right. What direction is opposite to the direction he is now facing?
After turning right from West, he faces North. The opposite of North is South.

Question 18

A soldier is facing North. He is given the command 'About Face'. Which direction is he now facing?
'About Face' means to turn 180°. From North, turning 180° leads to South.

Question 19

A person is facing South. If he turns left, which direction is he now facing?
Turning left from South means rotating 90° left. From South, left leads to East.

Question 20

A person is facing South. If he looks into a mirror placed to the left of him, which direction does his reflection appear to be facing?
Mirror on left reflects your left side, making you appear to face West.
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