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UkoKoshka [18]
2 years ago
6

II. The following figure shows an infinite zigzag path with each zag

Mathematics
1 answer:
nataly862011 [7]2 years ago
8 0

The length of the infinite zigzag path is 1

<h3>How to determine the length</h3>

Note that the infinite zigzag path is embedded in an isosceles triangle

Using angle π/4, we have that

Tan π/4 = opposite/ adjacent

tan \frac{3. 412}{4}  = \frac{x}{1}

tan 0. 7855 = x

x = 0. 014

To find the longer part 'y',  use the Pythagorean theorem

y^{2} = (0.014)^2 + (1)^2

y^2 = 1.879 * 10^-4 + 1
y^2 = 1. 00

y = \sqrt{1. 000}

y = 1. 000

The length of the infinite zigzag path is the same as the length of the longer part of the triangle which equals 1.

Thus, the length of the infinite zigzag path is 1

Learn more about the Pythagorean theorem here:

https://brainly.in/question/48490459

#SPJ1

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