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A taut telephone wire extends from the top of a 7-meter tall telephone pole to a stake in the
ground 2 meters away. A bug crawled from the stake in the ground up the wire to the top of
the telephone pole. Then the bug crawled down to the bottom of the pole and back to the
stake. How far did the bug crawl? If necessary, round to the nearest tenth.

Respuesta :

The bug crawled 6.7m away

Data;

  • hypothenuse (x) = 7m
  • distance between the pole (y) = 2m
  • height (z) = ?

To solve this problem we would use Pythagoras theorem

Pythagoras Theorem

[tex]x^2=y^2+z^2[/tex]

substitute the values into the equation and solve.

[tex]7^2=2^2+z^2\\49=4+z^2\\z^2=49-4\\z^2 = \sqrt{45}\\\\z= 6.7[/tex]

from the calculation above, the bug crawled 6.7m.

Learn more on Pythagoras theorem here;

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