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Verified Answer :

Ausar318

a²+b²=c²
3²+4²=c²
9+16=c²
25=c²
√25=√c²

c = 5

Answer:  His displacement will be 5 miles.

Step-by-step explanation:

Since we have given that

Distance traveled by William towards South = 3 miles

Distance traveled by William towards West = 4 miles

So, it will form "Right angled triangle "

So, we can apply "Pythagorus theorem "

\(a^2+b^2=c^2\\\\4^2+3^2=c^2\\\\16+9=c^2\\\\25=c^2\\\\\sqrt{25}=c\\\\5\ miles=c\)

Hence, His displacement will be 5 miles.

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