Similar triangle shadows (ACT/SAT/PSAT 8/9/10). Game on.

Similar triangle shadows (ACT/SAT/PSAT 8/9/10) is a grade 8 math skill aligned to Common Core standard HSG.SRT.B.5. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 similar triangle shadows (act/sat/psat 8/9/10) problems our math games drill.

CCSS HSG.SRT.B.510 questions in the bank
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Warm-upeasy

A 33-foot fence post casts a shadow 22 feet long. At the same time, a telephone pole casts a shadow 2828 feet long. How tall is the telephone pole, in feet?

Use 32=h28\dfrac{3}{2} = \dfrac{h}{28}. Cross-multiply: 2h=842h = 84, so h=42h = 42 feet.

Mid-gameeasy

A person who is 55 feet tall casts a shadow 33 feet long. At the same time, a water tower casts a shadow 2424 feet long. How tall is the water tower, in feet?

Set up 53=h24\dfrac{5}{3} = \dfrac{h}{24}. Cross-multiply: 3h=1203h = 120, so h=40h = 40 feet.

Mid-gameeasy

A parking meter that is 55 feet tall casts a shadow 22 feet long. A radio antenna casts a shadow at the same time. If the antenna is 3535 feet tall, how long is its shadow, in feet?

Use 52=35s\dfrac{5}{2} = \dfrac{35}{s}. Cross-multiply: 5s=705s = 70, so s=14s = 14 feet.

Mid-gameeasy

A 77-foot-tall basketball hoop casts a shadow 1414 feet long. At the same time, a brick chimney casts a shadow 2020 feet long. How tall is the chimney, in feet?

Set up 714=h20\dfrac{7}{14} = \dfrac{h}{20}. Cross-multiply: 14h=14014h = 140, so h=10h = 10 feet.

Mid-gamemedium

A student who is 44 feet tall casts a shadow 55 feet long. A building casts a shadow 6565 feet long at the same time. How tall is the building, in feet?

Set up 45=h65\dfrac{4}{5} = \dfrac{h}{65}. Cross-multiply: 5h=2605h = 260, so h=52h = 52 feet.

Mid-gamemedium

At a zoo, a keeper who is 66 feet tall casts a shadow 44 feet long. A giraffe standing nearby casts a shadow at the same time. If the giraffe is 2121 feet tall, how long is its shadow, in feet?

Use 64=21s\dfrac{6}{4} = \dfrac{21}{s}. Cross-multiply: 6s=846s = 84, so s=14s = 14 feet.

Mid-gamemedium

A child who is 44 feet tall casts a shadow 66 feet long. A monument casts a shadow at the same time. If the monument is 3030 feet tall, how long is its shadow, in feet?

Set up 46=30s\dfrac{4}{6} = \dfrac{30}{s}. Cross-multiply: 4s=1804s = 180, so s=45s = 45 feet.

Buzzer beatermedium

A bush that is 22 feet tall casts a shadow 55 feet long. At the same time, a cell tower casts a shadow 9090 feet long. How tall is the cell tower, in feet?

Use 25=h90\dfrac{2}{5} = \dfrac{h}{90}. Cross-multiply: 5h=1805h = 180, so h=36h = 36 feet.

Overtime

2 more. Played, not assigned.

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Tests that cover similar triangle shadows (act/sat/psat 8/9/10):
NAEPPSAT 8/9SATNY State MathLEAP 2025
Reporting domains for this skill
SAT All grades: Geometry and TrigonometryACT All grades: Preparing for Higher MathNAEP Grade 12: Measurement and GeometryACT Aspire All grades: Preparing for Higher MathATLAS Geometry: Similarity, Right Triangles, and TrigonometryDC CAPE Geometry: Similarity, Right Triangles, and Trigonometry
More Grade 8 skills
Multi-step linear equationsModeling linear situations (ACT/SAT/PSAT 8/9/10)Triangle angle sumLinear functions with an unknown constantScientific notationLinear coefficient interpretations (SAT/PSAT 8/9/10)Rectangle diagonal from area (ACT)Operations with scientific notation (ACT)All Grade 8 practice →

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