Bill walks $\frac{1}{2}$ mile south, then $\frac{3}{4}$ mile east, and finally $\frac{1}{2}$ mile south. How many miles is he, in a direct line, from his starting point

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Respuesta :

Muscardinus Muscardinus · Answer 1 · 2019-08-19T13:45:01+02:00

Explanation:

The attached figure shows the whole description.

Fraction covered in south, [tex]x_1=\dfrac{1}{2}[/tex]

Fraction covered in east, [tex]x_2=\dfrac{3}{4}[/tex]

Fraction covered in south, [tex]x_3=\dfrac{1}{2}[/tex]

MNO is a right angle triangle.

[tex]MO^2=MN^2+NO^2[/tex]

[tex]MO^2=(3/8)^2+(1/2)^2[/tex]

[tex]MO=0.62\ mile[/tex]

So, [tex]AM=2\times MO[/tex]

[tex]AM=2\times 0.62[/tex]

AM = 1.24 miles

So, he is 1.24 miles from his starting point. Hence, this is the required solution.

LinKirby LinKirby · Answer 2 · 2020-04-03T19:42:50+02:00

Answer:

1 1/4

Explanation:

Find the length of the diagonal of the rectangle to find the length of the direct line to the starting time using Pythagorean Theorem.

1 1/4

heh, not a really good explanation but at least it's correct XD

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