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PROBLEM SOLVING The height at the top of a roller coaster hill is 10 times the height 
h of the starting point. The height decreases 100 feet from the top to the bottom of the hill. The height at the bottom of the hill is -10 feet. Find 
h.

h=
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Overview

\#2323\newlinei\newlineListen\newlinePROBLEM SOLVING The height at the top of a roller coaster hill is 1010 times the height h h of the starting point. The height decreases 100100 feet from the top to the bottom of the hill. The height at the bottom of the hill is 10-10 feet. Find h h .\newlineh= h= \newlinePrevious\newline1414\newline1515\newline1616\newline1717\newline1818\newline1919\newline2020\newline2121\newline2222\newline2323\newlineOverview

Full solution

Q. \#2323\newlinei\newlineListen\newlinePROBLEM SOLVING The height at the top of a roller coaster hill is 1010 times the height h h of the starting point. The height decreases 100100 feet from the top to the bottom of the hill. The height at the bottom of the hill is 10-10 feet. Find h h .\newlineh= h= \newlinePrevious\newline1414\newline1515\newline1616\newline1717\newline1818\newline1919\newline2020\newline2121\newline2222\newline2323\newlineOverview
  1. Denote height at top: Let's denote the height at the top of the hill as 10h10h.
  2. Height at bottom: The height at the bottom of the hill is given as 10-10 feet.
  3. Calculate height difference: We know the height decreases by 100100 feet from the top to the bottom. So, 10h100=1010h - 100 = -10.
  4. Isolate 10h10h: Now, let's solve for hh. Add 100100 to both sides to isolate 10h10h: 10h100+100=10+10010h - 100 + 100 = -10 + 100.
  5. Simplify equation: Simplifying, we get 10h=9010h = 90.
  6. Divide to find hh: Finally, divide both sides by 1010 to find hh: h=9010h = \frac{90}{10}.
  7. Correct calculation: So, h=9h = 9. But wait, that's not right, I made a mistake. It should be h=9010h = \frac{90}{10}, which is 99.

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