Question

to get to his parents house, winston would have to drive due north 3.3 miles. to get to his grandparents house, he would have to drive due east 4.1 miles. what is the straight-line distance between the parents and grandparents houses? if necessary, round to the nearest tenth. miles submit

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 3.3\) (north - south distance) and \(b=4.1\) (east - west distance), and \(c\) is the straight - line distance.
Substitute the values: \(c^{2}=3.3^{2}+4.1^{2}\)
Calculate \(3.3^{2}=3.3\times3.3 = 10.89\) and \(4.1^{2}=4.1\times4.1=16.81\)
Then \(c^{2}=10.89 + 16.81=27.7\)

Step2: Solve for \(c\)

Take the square root of both sides: \(c=\sqrt{27.7}\)
\(c\approx5.3\) (rounded to the nearest tenth)

Answer:

\(5.3\)