Question

three people are sitting on a bus. josiah is seated 4 feet directly behind adam and 9 feet directly left of walter. how far is adam from walter? if necessary, round to the nearest tenth. feet

Explanation:

Step1: Apply Pythagorean theorem

Let the distance between Adam and Josiah be \(a = 4\) feet and the distance between Josiah and Walter be \(b=9\) feet. The distance between Adam and Walter \(c\) forms the hypotenuse of a right - triangle. By the Pythagorean theorem \(c^{2}=a^{2}+b^{2}\).
Substitute \(a = 4\) and \(b = 9\) into the formula: \(c^{2}=4^{2}+9^{2}\).

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Step2: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{97}\).
Calculate \(\sqrt{97}\approx9.8\) (rounded to the nearest tenth).

Answer:

\(9.8\)