Question

noah lives 1.8 miles due south of his parents house and 4.7 miles west of his grandparents house. on his birthday, noah drove from his house to his parents house. from there, he drove in a straight line to his grandparents house and then back home. how far did noah drive on his birthday? if necessary, round to the nearest tenth. miles

Explanation:

Step1: Calculate the distance from parents' to grandparents' house

Use the Pythagorean theorem \(c=\sqrt{a^{2}+b^{2}}\), where \(a = 1.8\) and \(b=4.7\).

$$c=\sqrt{1.8^{2}+4.7^{2}}=\sqrt{3.24 + 22.09}=\sqrt{25.33}\approx5.0$$

Step2: Calculate the total distance

The total distance \(d=1.8 + 5.0+4.7\)

$$d=11.5$$

Answer:

\(11.5\)