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During a storm, a tree breaks 9 feet above the ground and falls to form a right trian If the top of the tree rests 12 feet from the base of the tree, approximately how ta storm (round to the nearest foot)? A. 19 feet B. 21 feet C. 24 feet D. 27 feet Module 9-Test Form A 164

88. During a storm, a tree breaks 99 feet above the ground and falls to form a right trian\newlineIf the top of the tree rests 1212 feet from the base of the tree, approximately how ta storm (round to the nearest foot)?\newlineA. 1919 feet\newlineB. 2121 feet\newlineC. 2424 feet\newlineD. 2727 feet\newlineModule 99-Test Form A 164164

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Full solution

Q. 88. During a storm, a tree breaks 99 feet above the ground and falls to form a right trian\newlineIf the top of the tree rests 1212 feet from the base of the tree, approximately how ta storm (round to the nearest foot)?\newlineA. 1919 feet\newlineB. 2121 feet\newlineC. 2424 feet\newlineD. 2727 feet\newlineModule 99-Test Form A 164164
  1. Identify Triangle Formed: Identify the triangle formed by the tree.\newlineThe tree breaks and falls, creating a right triangle with the ground and the point where it broke.\newlineThe height where it broke is 99 feet, and the distance from the base to where the top rests is 1212 feet.
  2. Apply Pythagorean Theorem: Apply the Pythagorean Theorem to find the original height of the tree.\newlineUsing the formula a2+b2=c2a^2 + b^2 = c^2, where:\newlinea=9a = 9 feet (height from the ground to the break)\newlineb=12b = 12 feet (distance from the base to where the top rests)\newlinec=c = original height of the tree from the ground to the top.
  3. Calculate Missing Side: Calculate the missing side of the triangle.\newline92+122=c29^2 + 12^2 = c^2\newline81+144=c281 + 144 = c^2\newline225=c2225 = c^2\newlinec=225c = \sqrt{225}\newlinec=15c = 15 feet

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