Question

A student walks 1.0 mi west and then 1.0 mi north. afterward, how far is she from her starting point?

Answer 1

The  3 different points form a right angle so we us Pythagoras theorem:-
If distance is d:-
d^2  = 1^2 + 1^2

d = sqrt 2     or 1.414  miles to nearest thousandth

Answer 2

As it forms a right triangle as per given condition, student was $\sqrt{2}$ mi far from the starting point.

What is right triangle?

" Right triangle is defined as the triangle which has one of the angle with measure $90$°."

Formula used

Pythagoras theorem

(Hypotenuse)² = (adjacent side)² + (opposite side)²

According to the question,

Given,

Student walks west represents the adjacent side $= 1.0$ mi

Student walks north represents the opposite side $= 1.0$ mi

Distance between starting point and reaching point represents hypotenuse $= 'x'$ mi

As shown in figure,

Substitute the value in Pythagoras theorem of a  right triangle,

$x^{2} = 1^{2} + 1^{2} \\\\\implies x^{2} = 2\\\\\implies x = \sqrt{2} mi$

Hence,  student was $\sqrt{2}$ mi far from the starting point.

Learn more about right triangle here

https://brainly.com/question/6322314

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