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Community Water Lab: Probe Reach

Apply the Pythagorean Theorem to water-quality lab measurements, including probe depths, circular samples, and three-dimensional distances.

Grade 8MathInteractive · Printable

Aligned to8.G.B.7

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What’s included

Single worksheet
Auto-graded online
1 Common Core standard
Printable answer key
14 questions
Classroom-ready

Details

Format: Interactive · Printable
Grade: Grade 8
Subject: Math
Question types: Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

Students find unknown legs and hypotenuses in two-dimensional measurement problems.
Students use successive right triangles to find distances in three dimensions.
Students justify depth comparisons using the Pythagorean Theorem.

How to use

Have students sketch and label right triangles before calculating. Allow a calculator for square roots, and discuss the final comparison as a class.

Curriculum

Common Core standard covered

8.G.B.7

Use the Pythagorean Theorem to find unknown side lengths of right triangles in real-world and math problems in 2-D and 3-D.

Preview

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Name Date

Community Water Lab: Probe Reach

Use right triangles to plan water-quality measurements.

Bench Measurements

Use the Pythagorean Theorem. Give exact answers unless a question asks you to round.

A community science lab measures water quality. This overhead grid shows a sample inlet I and a detector D on a level test bench. Each coordinate unit represents 1 dm.

What is the straight-line distance from I to D? dm

A straight sampling tube reaches 0.9 m below the water surface. Its underwater endpoints are separated horizontally by 1.2 m. Horizontal and vertical distances are perpendicular.

How long is the underwater section of the tube? m

A circular filter has radius 10 cm. A straight scan line crosses the filter 6 cm from its center. The perpendicular from the center to the scan line divides the line into two equal halves.

What is the full length of the scan line inside the filter? cm

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