Walking distance

Geometry Level 2

A man walks 1 km east then 1 km northwest.How far is he from his starting point?


The answer is 0.765.

Mark Vincent Monta by Mark Vincent Monta , 25, Philippines

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1 solution

Let X X be the distance from the starting point to the ending point. Then by cosine law, we have

X 2 = 1 2 + 1 2 − 2 ( 1 ) ( 1 ) ( cos ⁡ 45 ) X^2=1^2+1^2-2(1)(1)(\cos 45)

X ≈ 0.765 Km X \approx 0.765~\text{Km}

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