PRINTED GUIDE COMPANION · MISSION 4

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Solve a System by Substitution | Two Probes, 26 Samples (TG-V9-028)

Turn the total of 26 samples and the four-sample difference into two equations. Solve by substitution to find 15 samples for Probe A and 11 for Probe B.

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Solve a System by Elimination (TG-V9-029)

Add the equations to eliminate y, find x = 8 and y = 6, then check that the pair satisfies both original equations.

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Find Tower Height from Shadows (TG-V9-030)

Match height-to-shadow ratios, find the scale factor of 15, and calculate the tower height of 30 meters.

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Convert Image Length to Real Distance (TG-V9-032)

Use 30 kilometers per image centimeter to find that 7 cm represents 210 km, then check the proportion and scale factor.

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Find the Maximum of a Flight Model (TG-V9-031)

Find the maximum height of 47 meters at 3 seconds, then check the vertex using symmetry and completed-square form.

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Estimate Auroral Height with Tangent (TG-V9-033)

Identify opposite and adjacent sides, use tangent to estimate 58.12 km, and distinguish the assumed right-triangle model from real observing geometry.

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PRACTICE VIDEO HELP · TG-V9-034

Your Turn: Find Magnetic-Field Magnitude (TG-V9-034)

Try the 18 nT and 24 nT components, check the 30 nT result, and see why directly adding them gives the wrong magnitude.

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VIDEO HELP · TG-V9-035

Find the Mean Signed Residual (TG-V9-035)

Average the signed residuals -2, +1 and +3 meters, and interpret the result as about 0.67 meters above the model.

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