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Shadow Based Distance - Absolute-Beginner Level: core concept mastery Shadow Based Distance ABSOLUTE BEGINNER

This skill primer 🌟 worksheet focuses on Shadow Based Distance - a key topic in Distance Logic. You'll solve 20 absolute-beginner-level problems (Worksheet 1 of 10). The primary focus is on core concept mastery. Master shadow based distance problems, shadow based distance reasoning questions, and shadow based distance practice through systematic practice.

📝 Worksheet 1 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Absolute Beginner level

What you'll learn in this worksheet:
Your progress through Shadow Based Distance
Worksheet 1 of 10 (0% complete)

Question 1

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 32 m and 86 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 32 m
2. Second position: distance from pole = 86 m
3. Distance between positions = 86 - 32 = 54 m

Question 2

A 177 cm tall person casts a 150 cm shadow. A nearby building is 649 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 177/150 = 1.18
2. For object: Height / Shadow = 1.18
3. Shadow = Height / Ratio = 649 / 1.18 = 550.0 cm

Question 3

A 174 cm tall person casts a 231 cm shadow. A nearby building is 550 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 174/231 = 0.75
2. For object: Height / Shadow = 0.75
3. Shadow = Height / Ratio = 550 / 0.75 = 730.2 cm

Question 4

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 35 m and 96 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 35 m
2. Second position: distance from pole = 96 m
3. Distance between positions = 96 - 35 = 61 m

Question 5

A 158 cm tall person casts a 105 cm shadow. A building casts a 440 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 105/158 = 0.66
2. For object: Shadow / Height = 0.66
3. Height = Shadow / Ratio = 440 / 0.66 = 662.1 cm

Question 6

A 159 cm tall person casts a 124 cm shadow. A building casts a 412 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 124/159 = 0.78
2. For object: Shadow / Height = 0.78
3. Height = Shadow / Ratio = 412 / 0.78 = 528.3 cm

Question 7

A 177 cm tall person casts a 113 cm shadow. A nearby building is 821 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 177/113 = 1.57
2. For object: Height / Shadow = 1.57
3. Shadow = Height / Ratio = 821 / 1.57 = 524.1 cm

Question 8

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 35 m and 99 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 35 m
2. Second position: distance from pole = 99 m
3. Distance between positions = 99 - 35 = 64 m

Question 9

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 31 m and 94 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 31 m
2. Second position: distance from pole = 94 m
3. Distance between positions = 94 - 31 = 63 m

Question 10

A 179 cm tall person casts a 234 cm shadow. A building casts a 406 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 234/179 = 1.31
2. For object: Shadow / Height = 1.31
3. Height = Shadow / Ratio = 406 / 1.31 = 310.6 cm

Question 11

A 161 cm tall person casts a 298 cm shadow. A nearby building is 609 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 161/298 = 0.54
2. For object: Height / Shadow = 0.54
3. Shadow = Height / Ratio = 609 / 0.54 = 1127.2 cm

Question 12

A 169 cm tall person casts a 185 cm shadow. A building casts a 510 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 185/169 = 1.09
2. For object: Shadow / Height = 1.09
3. Height = Shadow / Ratio = 510 / 1.09 = 465.9 cm

Question 13

A 171 cm tall person casts a 227 cm shadow. A nearby building is 764 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 171/227 = 0.75
2. For object: Height / Shadow = 0.75
3. Shadow = Height / Ratio = 764 / 0.75 = 1014.2 cm

Question 14

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 33 m and 98 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 33 m
2. Second position: distance from pole = 98 m
3. Distance between positions = 98 - 33 = 65 m

Question 15

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 35 m and 72 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 35 m
2. Second position: distance from pole = 72 m
3. Distance between positions = 72 - 35 = 37 m

Question 16

A 156 cm tall person casts a 139 cm shadow. A building casts a 534 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 139/156 = 0.89
2. For object: Shadow / Height = 0.89
3. Height = Shadow / Ratio = 534 / 0.89 = 599.3 cm

Question 17

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 41 m and 71 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 41 m
2. Second position: distance from pole = 71 m
3. Distance between positions = 71 - 41 = 30 m

Question 18

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 33 m and 90 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 33 m
2. Second position: distance from pole = 90 m
3. Distance between positions = 90 - 33 = 57 m

Question 19

A 151 cm tall person casts a 291 cm shadow. A nearby building is 652 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 151/291 = 0.52
2. For object: Height / Shadow = 0.52
3. Shadow = Height / Ratio = 652 / 0.52 = 1256.5 cm

Question 20

A 162 cm tall person casts a 240 cm shadow. A nearby building is 875 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 162/240 = 0.68
2. For object: Height / Shadow = 0.68
3. Shadow = Height / Ratio = 875 / 0.68 = 1296.3 cm
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