# Math

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a ship leaves sydney heads and travels 45 km due east. it then returns and travels 86 km due north. how far is it from its starting point?

please guys step by step.. thank you in advance.

• Math -

Pythagorean theorem:

c ^ 2 = a ^ 2 + b ^ 2

c = sqrt ( a ^ 2 + b ^ 2 )

In this case :

a = 45

b = 86

c = sqrt ( 45 ^ 2 + 86 ^ 2 )=

sqrt ( 2025 + 7396 ) =

sqrt ( 9421 ) = 97.062 km

• Math -

7i6686855

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