Question

adam takes his dog on a walk. they go to the park and walk a diagonal straight line along the baseball fields in the park. after 30 minutes of walking, adam and his dog were 0.5 miles east and 1 mile south from where they started. how far did they walk? round your answer to two decimal places, if necessary.
1.12 miles
1.5 miles
0.87 miles
2.25 miles

Explanation:

Step1: Apply the Pythagorean theorem

The Pythagorean theorem is \(c = \sqrt{a^{2}+b^{2}}\), where \(a = 0.5\) (east - west distance) and \(b = 1\) (north - south distance).
$$c=\sqrt{(0.5)^{2}+(1)^{2}}$$

Step2: Calculate the values inside the square root

First, calculate \((0.5)^{2}=0.25\) and \((1)^{2} = 1\). Then \(a^{2}+b^{2}=0.25 + 1=1.25\).
$$c=\sqrt{1.25}$$

Step3: Simplify the square root

\(\sqrt{1.25}\approx1.12\) (rounded to two decimal places)

Answer:

1.12 miles