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A student bikes to school by traveling first dn = 1.00 miles north, then dw = 0.500 miles west, and finally ds = 0.200 miles south. part a if a bird were to start out from the origin (where the student starts) and fly directly (in a straight line) to the school, what distance db would the bird cover?

Respuesta :

Alright, lets get started.

Please refer the diagram I have attached.

The red line indicates the movement of student.

The movement of bird is indicated by orange line.

There will a right angle triangle made with sides measuring

One side will be = 0.5 miles

second side will be = [tex]1 - 0.2 = 0.8 miles[/tex]

The hypotenuse will be the orange one

So, using Pythagorean theroem,

[tex]c^2 = a^2 + b^2[/tex]

[tex]c^2 = 0.5^2 + 0.8^2[/tex]

[tex]c^2 = 0.25 + 0.64[/tex]

[tex]c^2 = 0.89[/tex]

Taking square root on both sides

[tex]c = 0.94[/tex]

So the bird has to fly 0.94 miles .   :    Answer

Hope it will help :)

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