Question

18 multiple choice 1 point megan bikes 6 miles west to get from her apartment to school. after school, she bikes 8 miles north to her friend isaacs house. how far is megans apartment from isaacs house, measured in a straight line? 8 miles 12 miles 10 miles 6 miles

Explanation:

Step1: Identify the right - triangle

Megan's movements form a right - triangle. The 6 - mile westward journey and 8 - mile northward journey are the two legs of a right - triangle, and the straight - line distance from her apartment to Isaac's house is the hypotenuse.

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 6\) (westward distance), \(b = 8\) (northward distance), and \(c\) is the hypotenuse. So, \(c=\sqrt{6^{2}+8^{2}}\).

Step3: Calculate the value of \(c\)

First, calculate \(6^{2}=36\) and \(8^{2}=64\). Then \(6^{2}+8^{2}=36 + 64=100\). So, \(c=\sqrt{100}=10\).

Answer:

10 miles