GOAL Illustrate the Problem-Solving Strategy. SOLUTION Write the Pythagorean the

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GOALIllustrate the Problem-Solving Strategy. SOLUTION Write the Pythagorean theorem (step 5). r2=x2+y2 Write the Pythagorean theorem (step 5). r2=x2+y2 Solve symbolically fory(step 6). Substitute the numbers, with units (step 7). LEARN MORE REMARKSNote that the negative solution has been disregarded, because it's not physically meaningful. In checking (step 8), note that the units are correct and that an approximate answer can be obtained by using the easier quantities, 500 km and 400 km. Doing so gives an answer of 300 km, which is approximately the same as our calculated answer of 270 km.

QUESTIONWhat is the answer if the distance traveled due east and the direct return distance are both doubled?

LEARN MORE REMARKSNote that the negative solution has been disregarded, because it's not physically meaningful. In checking (step 8), note that the units are correct and that an approximate answer can be obtained by using the easier quantities, 500 km and 400 km. Doing so gives an answer of 300 km, which is approximately the same as our calculated answer of 270 km.

QUESTIONWhat is the answer if the distance traveled due east and the direct return distance are both doubled?

r2?x2

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