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Direction Sense - Expert Level: rectangular paths EXPERT

Comprehensive self assessment worksheet covering 20 expert-level direction sense problems. Worksheet 28 of 30 emphasizes rectangular paths. Master intermediate directions, shadow direction, sun direction through detailed explanations. Difficulty: challenging problems and time-bound practice. Tailored for expert-level preparation.

📝 Worksheet 28 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Direction Sense
Worksheet 28 of 30 (93% complete)

Question 1

A person starts facing South and walks through a labyrinth. He makes the following turns: left, then left, then right, then right. What is his final facing direction?
After full loop: left, then left, then right, then right, the net rotation is 360°, returning to South.
maze, pattern

Question 2

A person walks 30m West, then 35m West. What is the shortest distance between his starting and ending points?
Net displacement: (-65, 0). Shortest distance = √(-65² + 0²) = 65.0 m.
distance, pythagoras

Question 3

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

Question 4

A person is facing North. He reverses his direction. Which direction does he face now?
Reversing direction means turning 180°. From North, the opposite direction is South.
military, 180-degree

Question 5

At 9:00, the hour hand points exactly towards West. If a person is facing East, where is the hour hand relative to him?
At 9:00, hour hand is at West (270.0°). Person faces East (90°). Angular difference: 180.0°. The hour hand is behind.
clock, time, hour-hand

Question 6

A person facing West turns 360° anticlockwise. Which direction is he now facing?
Turning 360° brings you back to the original direction. From West, after a full rotation, you still face West.
degrees, rotation

Question 7

At 9:00, the hour hand points exactly towards West. If a person is facing East, where is the hour hand relative to him?
At 9:00, hour hand is at West (270.0°). Person faces East (90°). Angular difference: 180.0°. The hour hand is behind.
clock, time, hour-hand

Question 8

A 25m tall person is standing outside at 12:00 noon. If the sun is directly overhead, what is the length of his shadow?
When sun is directly overhead at noon, no shadow is cast (or shadow directly below).
trigonometry, shadow-length

Question 9

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

Question 10

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.
mirror, reflection

Question 11

A person walks 34m South, then 11m North, then 24m West. What is the shortest distance between his starting and ending points?
Net displacement: (-24, -23). Shortest distance = √(-24² + -23²) = 33.2 m.
distance, pythagoras

Question 12

A person is facing West. He reverses his direction. Which direction does he face now?
Reversing direction means turning 180°. From West, the opposite direction is East.
military, 180-degree

Question 13

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.
opposite, turns

Question 14

In a certain code, P means North, Q means South, R means East, S means West. A person starts facing S, turns right, then turns left. Which code represents his final direction?
From West, right → North, then left → West. West is coded as S.
coding, symbols

Question 15

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

Question 16

A person facing West turns 90° clockwise. Which direction is he now facing?
From West, turning 90° clockwise means rotating 90° clockwise. Final direction: North.
degrees, rotation

Question 17

A person walks 26m East, then 28m North, then 20m East. What is the shortest distance between his starting and ending points?
Net displacement: (46, 28). Shortest distance = √(46² + 28²) = 53.9 m.
distance, pythagoras

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.
military, 180-degree

Question 19

A 20m 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) = 20 × tan(15°) = 5.4 m. Shadow direction: West (sun in opposite direction).
trigonometry, shadow-length

Question 20

At 3:00 PM, the sun is in the Southwest. If a person is facing West, where will his shadow fall?
At 3:00 PM, sun is in Southwest. Shadow falls opposite to sun. From West, shadow direction = Northeast.
sun, time, shadow
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