Final answer:
To make h the subject in the formula S = 2nd√h² + d², subtract d² from both sides, divide by 2nd, square both sides, and then take the square root.
Step-by-step explanation:
To rearrange the formula S = 2nd√h² + d² to make h the subject, we need to isolate h on one side of the equation. First, subtract d² from both sides, yielding S - d² = 2nd√h². Next, divide both sides by 2nd, resulting in (S - d²) / (2nd) = √h². To remove the square root, square both sides, giving us ((S - d²) / (2nd))² = h². Finally, take the square root of both sides to find h: h = √(((S - d²) / (2nd))²).
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