The distance would have been 16.1 miles if the road was made directly.
Step-by-step explanation:
Given,
Distance traveled east = 14 miles
Distance traveled north = 8 miles
As he made a turn at intersection, therefore, the both the distances are perpendicular to each other.
The direct distance will form a right triangle;
Therefore,
Using pythagorean theorem;
a = 14
b = 8
c = Direct distance
[tex]a^2+b^2=c^2\\(14)^2+(8)^2=c^2\\196+64=c^2\\260=c^2\\c^2=260[/tex]
Taking square root on both sides
[tex]\sqrt{c^2}=\sqrt{260}\\c=16.124[/tex]
Rounding to the nearest tenth;
Direct distance = 16.1 miles
The distance would have been 16.1 miles if the road was made directly.
Keywords: Pythagorean theorem, square root
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