TEACHER-GUIDE-VERIFIED · TG-V9-033

6. Two observers 80 km apart measure an auroral feature. A simplified right triangle uses a 36 degree elevation angle. Estimate height using h=80tan36.

Verified solution

Solution: h=80tan36, about 58.12 km. This simplified estimate depends on the right-triangle assumption.

Source: Teacher Guide V9 · English V9. Match the numbers and wording in your printed question before using this solution.

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VIDEO HELP · TG-V9-033

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

Identify the opposite and adjacent sides in the assumed right-triangle model. Use h = 80 tan(36 degrees) to estimate 58.12 km, then check the height-to-baseline ratio. Observer separation alone does not establish the assumed geometry.

Space Math Explorers · approved worked example · 1:23 · Watch on YouTube

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These pages reproduce verified solution steps for the registered V9 questions. It does not diagnose learning needs or replace instruction from a qualified teacher or tutor.