TEACHER-GUIDE-VERIFIED · TG-V9-064

5. A support rises 3 m over a 4 m run. Find its angle.

Verified solution

Solution: theta=arctan(3/4), about 36.9 degrees.

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-V9-064

Find a Support’s Angle from Rise and Run (TG-V9-064)

Recognize the 3–4–5 right triangle. Inverse sine of 3/5 and inverse tangent of 3/4 both give about 36.87 degrees above horizontal, or 36.9 to the nearest tenth. Subtract 90 and 36.87 from 180 to find the other angle,53.13 degrees, and check with inverse sine of 4/5.

Space Math Explorers · approved worked example · 1:48 · 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.