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Shadow Based Distance Beginner-Intermediate Worksheet: Focus on common variations practice Shadow Based Distance BEGINNER INTERMEDIATE

Level up your Shadow Based Distance skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: shadow based distance for competitive exams, how to solve shadow based distance, shadow based distance tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

What you'll learn in this worksheet:
Your progress through Shadow Based Distance
Worksheet 4 of 10 (33% complete)

Question 1

A 157 cm tall person casts a 154 cm shadow. A building casts a 566 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 154/157 = 0.98
2. For object: Shadow / Height = 0.98
3. Height = Shadow / Ratio = 566 / 0.98 = 577.0 cm

Question 2

A 160 cm tall person casts a 247 cm shadow. A building casts a 487 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 247/160 = 1.54
2. For object: Shadow / Height = 1.54
3. Height = Shadow / Ratio = 487 / 1.54 = 315.5 cm

Question 3

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 21 m and 97 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 21 m
2. Second position: distance from pole = 97 m
3. Distance between positions = 97 - 21 = 76 m

Question 4

A 155 cm tall person casts a 211 cm shadow. A nearby building is 721 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 155/211 = 0.73
2. For object: Height / Shadow = 0.73
3. Shadow = Height / Ratio = 721 / 0.73 = 981.5 cm

Question 5

A 150 cm tall person casts a 294 cm shadow. A building casts a 588 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 294/150 = 1.96
2. For object: Shadow / Height = 1.96
3. Height = Shadow / Ratio = 588 / 1.96 = 300.0 cm

Question 6

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 49 m and 69 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 49 m
2. Second position: distance from pole = 69 m
3. Distance between positions = 69 - 49 = 20 m

Question 7

A 151 cm tall person casts a 116 cm shadow. A nearby building is 766 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 151/116 = 1.30
2. For object: Height / Shadow = 1.30
3. Shadow = Height / Ratio = 766 / 1.30 = 588.5 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 24 m and 73 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 24 m
2. Second position: distance from pole = 73 m
3. Distance between positions = 73 - 24 = 49 m

Question 9

A 174 cm tall person casts a 245 cm shadow. A building casts a 318 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 245/174 = 1.41
2. For object: Shadow / Height = 1.41
3. Height = Shadow / Ratio = 318 / 1.41 = 225.8 cm

Question 10

A 179 cm tall person casts a 103 cm shadow. A nearby building is 623 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 179/103 = 1.74
2. For object: Height / Shadow = 1.74
3. Shadow = Height / Ratio = 623 / 1.74 = 358.5 cm

Question 11

A 178 cm tall person casts a 151 cm shadow. A nearby building is 607 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 178/151 = 1.18
2. For object: Height / Shadow = 1.18
3. Shadow = Height / Ratio = 607 / 1.18 = 514.9 cm

Question 12

A 173 cm tall person casts a 164 cm shadow. A building casts a 525 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 164/173 = 0.95
2. For object: Shadow / Height = 0.95
3. Height = Shadow / Ratio = 525 / 0.95 = 553.8 cm

Question 13

A 174 cm tall person casts a 166 cm shadow. A nearby building is 939 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 174/166 = 1.05
2. For object: Height / Shadow = 1.05
3. Shadow = Height / Ratio = 939 / 1.05 = 895.8 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 48 m and 81 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 48 m
2. Second position: distance from pole = 81 m
3. Distance between positions = 81 - 48 = 33 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 22 m and 96 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 22 m
2. Second position: distance from pole = 96 m
3. Distance between positions = 96 - 22 = 74 m

Question 16

A 172 cm tall person casts a 178 cm shadow. A nearby building is 983 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 172/178 = 0.97
2. For object: Height / Shadow = 0.97
3. Shadow = Height / Ratio = 983 / 0.97 = 1017.3 cm

Question 17

A 158 cm tall person casts a 177 cm shadow. A building casts a 449 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 177/158 = 1.12
2. For object: Shadow / Height = 1.12
3. Height = Shadow / Ratio = 449 / 1.12 = 400.8 cm

Question 18

A 151 cm tall person casts a 189 cm shadow. A nearby building is 791 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 151/189 = 0.80
2. For object: Height / Shadow = 0.80
3. Shadow = Height / Ratio = 791 / 0.80 = 990.1 cm

Question 19

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 22 m and 76 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 22 m
2. Second position: distance from pole = 76 m
3. Distance between positions = 76 - 22 = 54 m

Question 20

A 177 cm tall person casts a 165 cm shadow. A building casts a 511 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 165/177 = 0.93
2. For object: Shadow / Height = 0.93
3. Height = Shadow / Ratio = 511 / 0.93 = 548.2 cm
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