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Shadow Based Distance - Intermediate Level: tricky scenarios handling Shadow Based Distance INTERMEDIATE

This expert challenge 📈 worksheet focuses on Shadow Based Distance - a key topic in Distance Logic. You'll solve 20 intermediate-level problems (Worksheet 5 of 10). The primary focus is on tricky scenarios handling. Master how to solve shadow based distance, shadow based distance tricks, and shadow based distance shortcut methods through systematic practice.

📝 Worksheet 5 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate level

What you'll learn in this worksheet:
Your progress through Shadow Based Distance
Worksheet 5 of 10 (44% complete)

Question 1

A 172 cm tall person casts a 225 cm shadow. A nearby building is 674 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 172/225 = 0.76
2. For object: Height / Shadow = 0.76
3. Shadow = Height / Ratio = 674 / 0.76 = 881.7 cm

Question 2

A 166 cm tall person casts a 202 cm shadow. A nearby building is 580 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 166/202 = 0.82
2. For object: Height / Shadow = 0.82
3. Shadow = Height / Ratio = 580 / 0.82 = 705.8 cm

Question 3

A 176 cm tall person casts a 106 cm shadow. A building casts a 507 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 106/176 = 0.60
2. For object: Shadow / Height = 0.60
3. Height = Shadow / Ratio = 507 / 0.60 = 841.8 cm

Question 4

A 157 cm tall person casts a 184 cm shadow. A nearby building is 653 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 157/184 = 0.85
2. For object: Height / Shadow = 0.85
3. Shadow = Height / Ratio = 653 / 0.85 = 765.3 cm

Question 5

A 177 cm tall person casts a 191 cm shadow. A building casts a 455 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 191/177 = 1.08
2. For object: Shadow / Height = 1.08
3. Height = Shadow / Ratio = 455 / 1.08 = 421.6 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 48 m and 85 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 48 m
2. Second position: distance from pole = 85 m
3. Distance between positions = 85 - 48 = 37 m

Question 7

A 172 cm tall person casts a 241 cm shadow. A building casts a 475 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 241/172 = 1.40
2. For object: Shadow / Height = 1.40
3. Height = Shadow / Ratio = 475 / 1.40 = 339.0 cm

Question 8

A 158 cm tall person casts a 243 cm shadow. A building casts a 576 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 243/158 = 1.54
2. For object: Shadow / Height = 1.54
3. Height = Shadow / Ratio = 576 / 1.54 = 374.5 cm

Question 9

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 79 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 35 m
2. Second position: distance from pole = 79 m
3. Distance between positions = 79 - 35 = 44 m

Question 10

A person walks from a point where his shadow length is measured to another point. The distances from a lamp post are 44 m and 76 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 44 m
2. Second position: distance from pole = 76 m
3. Distance between positions = 76 - 44 = 32 m

Question 11

A 174 cm tall person casts a 241 cm shadow. A building casts a 430 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 241/174 = 1.39
2. For object: Shadow / Height = 1.39
3. Height = Shadow / Ratio = 430 / 1.39 = 310.5 cm

Question 12

A 180 cm tall person casts a 225 cm shadow. A nearby building is 713 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 180/225 = 0.80
2. For object: Height / Shadow = 0.80
3. Shadow = Height / Ratio = 713 / 0.80 = 891.2 cm

Question 13

A 172 cm tall person casts a 161 cm shadow. A building casts a 424 cm shadow at the same time. How tall is the building?
Step-by-step:
1. Ratio of shadow to height = 161/172 = 0.94
2. For object: Shadow / Height = 0.94
3. Height = Shadow / Ratio = 424 / 0.94 = 453.0 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 32 m and 89 m respectively. How far did he walk?
Step-by-step:
1. First position: distance from pole = 32 m
2. Second position: distance from pole = 89 m
3. Distance between positions = 89 - 32 = 57 m

Question 15

A 175 cm tall person casts a 113 cm shadow. A nearby building is 816 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 175/113 = 1.55
2. For object: Height / Shadow = 1.55
3. Shadow = Height / Ratio = 816 / 1.55 = 526.9 cm

Question 16

A 174 cm tall person casts a 256 cm shadow. A nearby building is 556 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 174/256 = 0.68
2. For object: Height / Shadow = 0.68
3. Shadow = Height / Ratio = 556 / 0.68 = 818.0 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 157 cm tall person casts a 295 cm shadow. A nearby building is 700 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 157/295 = 0.53
2. For object: Height / Shadow = 0.53
3. Shadow = Height / Ratio = 700 / 0.53 = 1315.3 cm

Question 19

A 169 cm tall person casts a 287 cm shadow. A nearby building is 897 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 169/287 = 0.59
2. For object: Height / Shadow = 0.59
3. Shadow = Height / Ratio = 897 / 0.59 = 1523.3 cm

Question 20

A 176 cm tall person casts a 209 cm shadow. A nearby building is 842 cm tall. How long will its shadow be?
Step-by-step:
1. Ratio of height to shadow length = 176/209 = 0.84
2. For object: Height / Shadow = 0.84
3. Shadow = Height / Ratio = 842 / 0.84 = 999.9 cm
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