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Direction Sense - Expert Level: triangular paths EXPERT

Strategic basic drills ★ for direction sense: 20 expert-level problems. Worksheet 29 of 30 - Focus: triangular paths. Develop expertise in compass directions, navigation problems, turns and angles with step-by-step solutions. Ideal for expert-level learners targeting challenging problems and time-bound practice.

📝 Worksheet 29 of 30 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Direction Sense
Worksheet 29 of 30 (96% complete)

Question 1

A 25m 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) = 25 × tan(30°) = 14.4 m. Shadow direction: West (sun in opposite direction).
trigonometry, shadow-length

Question 2

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

Question 3

A 14m 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) = 14 × tan(30°) = 8.1 m. Shadow direction: East (sun in opposite direction).
trigonometry, shadow-length

Question 4

A person starts at point A and walks 15m towards North, then 19m towards West, then 6m towards South, then 15m towards West. What is his final position relative to point A?
Net displacement: -34m East-West, 9m North-South. Final direction: West, distance: 35.2m.
movement, coordinates

Question 5

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.
basic, turns

Question 6

B is 34m South of X. A is 11m South of X. What is the position of A relative to B?
Position of B: (0,0). X: (0, -34). A: (0, -45). A - B = (0, -45) → South, 45.0m.
multiple-persons, relative

Question 7

A person is facing West. If he looks into a mirror placed in front of him, which direction does his reflection appear to be facing?
Mirror in front reflects your direction backwards. Facing West → reflection faces East.
mirror, reflection

Question 8

A person is facing West. 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 South.
mirror, reflection

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.
opposite, turns

Question 10

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

Question 11

A person facing East turns 270° anticlockwise. Which direction is he now facing?
From East, turning 270° anticlockwise means rotating 270° anticlockwise. Final direction: South.
degrees, rotation

Question 12

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 13

A hiker is traveling on a bearing of Southeast (135°). If it turns 315° clockwise, what is its new bearing?
Starting bearing: 135°. Clockwise turn of 315° → 90° = East.
compass, bearings

Question 14

A person walks 36m South, then 38m South, then 18m North. What is the shortest distance between his starting and ending points?
Net displacement: (0, -56). Shortest distance = √(0² + -56²) = 56.0 m.
distance, pythagoras

Question 15

At noon, if a person is standing outside, in which direction does his shadow fall?
At noon, the sun is directly overhead, so shadows are cast directly below the person, not in any specific horizontal direction.
shadow, time

Question 16

A person is initially facing East. He turns left, left, right, right, and then right. Which direction is he finally facing?
Start: East. left → left → right → right → right → Final: South.
multiple, sequence

Question 17

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

Question 18

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

Question 19

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

Question 20

X is 30m South of C. A is 41m South of C. What is the position of A relative to X?
Position of X: (0,0). C: (0, -30). A: (0, -71). A - X = (0, -71) → South, 71.0m.
multiple-persons, relative
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