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Shadow Based Distance: Worksheet 10 - Expert Practice Shadow Based Distance EXPERT

Ready to master Shadow Based Distance? This accuracy focus 👑 worksheet (10/10) presents 20 expert-level challenges. Focus area: application-based learning. Learn to solve shadow based distance reasoning tricks, handle fast shadow based distance solving, and perfect shadow based distance mastery with our step-by-step solutions.

📝 Worksheet 10 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Expert level

What you'll learn in this worksheet:
Your progress through Shadow Based Distance
Worksheet 10 of 10 (100% 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 27 m and 85 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 27 m
2. Second position: distance from pole = 85 m
3. Distance between positions = 85 - 27 = 58 m

Question 2

A 153 cm tall person casts a 140 cm shadow. A building casts a 300 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 140/153 = 0.92
2. For object: Shadow / Height = 0.92
3. Height = Shadow / Ratio = 300 / 0.92 = 327.9 cm

Question 3

A 159 cm tall person casts a 215 cm shadow. A building casts a 435 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 215/159 = 1.35
2. For object: Shadow / Height = 1.35
3. Height = Shadow / Ratio = 435 / 1.35 = 321.7 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 24 m and 99 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 24 m
2. Second position: distance from pole = 99 m
3. Distance between positions = 99 - 24 = 75 m

Question 5

A 161 cm tall person casts a 296 cm shadow. A building casts a 528 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 296/161 = 1.84
2. For object: Shadow / Height = 1.84
3. Height = Shadow / Ratio = 528 / 1.84 = 287.2 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 37 m and 85 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 37 m
2. Second position: distance from pole = 85 m
3. Distance between positions = 85 - 37 = 48 m

Question 7

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 47 m and 86 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 47 m
2. Second position: distance from pole = 86 m
3. Distance between positions = 86 - 47 = 39 m

Question 8

A 167 cm tall person casts a 162 cm shadow. A building casts a 372 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 162/167 = 0.97
2. For object: Shadow / Height = 0.97
3. Height = Shadow / Ratio = 372 / 0.97 = 383.5 cm

Question 9

A 180 cm tall person casts a 230 cm shadow. A nearby building is 787 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 180/230 = 0.78
2. For object: Height / Shadow = 0.78
3. Shadow = Height / Ratio = 787 / 0.78 = 1005.6 cm

Question 10

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 68 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 31 m
2. Second position: distance from pole = 68 m
3. Distance between positions = 68 - 31 = 37 m

Question 11

A 168 cm tall person casts a 267 cm shadow. A nearby building is 991 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 168/267 = 0.63
2. For object: Height / Shadow = 0.63
3. Shadow = Height / Ratio = 991 / 0.63 = 1575.0 cm

Question 12

A 158 cm tall person casts a 284 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 = 284/158 = 1.80
2. For object: Shadow / Height = 1.80
3. Height = Shadow / Ratio = 525 / 1.80 = 292.1 cm

Question 13

A 171 cm tall person casts a 143 cm shadow. A building casts a 434 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 143/171 = 0.84
2. For object: Shadow / Height = 0.84
3. Height = Shadow / Ratio = 434 / 0.84 = 519.0 cm

Question 14

A 157 cm tall person casts a 246 cm shadow. A building casts a 530 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 246/157 = 1.57
2. For object: Shadow / Height = 1.57
3. Height = Shadow / Ratio = 530 / 1.57 = 338.3 cm

Question 15

A 163 cm tall person casts a 280 cm shadow. A building casts a 351 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 280/163 = 1.72
2. For object: Shadow / Height = 1.72
3. Height = Shadow / Ratio = 351 / 1.72 = 204.3 cm

Question 16

A 153 cm tall person casts a 174 cm shadow. A nearby building is 795 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 153/174 = 0.88
2. For object: Height / Shadow = 0.88
3. Shadow = Height / Ratio = 795 / 0.88 = 904.1 cm

Question 17

A 157 cm tall person casts a 283 cm shadow. A nearby building is 625 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 157/283 = 0.55
2. For object: Height / Shadow = 0.55
3. Shadow = Height / Ratio = 625 / 0.55 = 1126.6 cm

Question 18

A 165 cm tall person casts a 106 cm shadow. A nearby building is 647 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 165/106 = 1.56
2. For object: Height / Shadow = 1.56
3. Shadow = Height / Ratio = 647 / 1.56 = 415.6 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 25 m and 80 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 25 m
2. Second position: distance from pole = 80 m
3. Distance between positions = 80 - 25 = 55 m

Question 20

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 38 m and 63 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 38 m
2. Second position: distance from pole = 63 m
3. Distance between positions = 63 - 38 = 25 m
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