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9th Grade Shadows & Towers Quizzes, Questions & Answers

9th Grade

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Shadows and Towers: Use Trig to Find Heights & Shadow Lengths

Turn sun–shadow scenes into clean right-triangle setups. You’ll practice choosing the correct ratio (mostly tan = height/shadow), rearranging to solve for unknown heights or shadow lengths, and checking answers with...

Questions: 20 | Attempts: 16 | Last updated: Jan 22, 2026

Sample Question 1
A 15 m flagpole casts a 20 m shadow. What is the sun’s angle of elevation (nearest degree)?

37°

41°

53°

62°

Sample Question 2
The sun’s elevation is 32°. A building casts a 28 m shadow. What is the building’s height (nearest meter)?

18 m

15 m

28 m

37 m

Sample Question 3
A 6 ft sign casts a shadow of 8 ft. Which equation relates the angle of elevation θ to the data?

Tan(θ) = 6/8

Sin(θ) = 8/6

Cos(θ) = 6/8

Tan(θ) = 8/6

9th Grade Shadows & Towers Quizzes, Questions & Answers

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