Question

from his house, nolan could drive due north to get to his parents house or he could drive due east to get to his grandparents house. it is 9 kilometers from nolans house to his parents house and a straight - line distance of 9.5 kilometers from his parents house to his grandparents house. how far is nolan from his grandparents house? if necessary, round to the nearest tenth. kilometers submit

Explanation:

Step1: Apply Pythagorean theorem

Let \(a = 9\), \(c=9.5\), find \(b\). The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), so \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

Substitute \(a = 9\) and \(c = 9.5\) into \(b^{2}=c^{2}-a^{2}\). Then \(b^{2}=9.5^{2}-9^{2}\).

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Step3: Solve for \(b\)

Take the square root of \(b^{2}=9.25\), \(b=\sqrt{9.25}\approx3.0\)

Answer:

\(3.0\)