The bug crawl in total of 90 feet of distance .
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular. The relation between the sides and other angles of the right triangle is the basis for trigonometry.
According to question
Ataut telephone wire extends from the top of a 40-foot tall telephone pole to a stake in the ground 9 feet away
So, according to diagram
AB= 9 feet
AC = 40 feet
BC =[tex]\sqrt{AB^{2} +AC^{2} }[/tex](Pythagoras theorem)
BC = [tex]\sqrt{9^{2} +40^{2} }[/tex]
BC=[tex]\sqrt{81 + 1600 }[/tex]
BC = [tex]\sqrt{ 1681 }[/tex]
BC= 41 feet
As bug start 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 which means perimeter of right angle triangle.
Perimeter of triangle = AB + BC + AC
= 9 + 41 + 40
= 90 feet
Hence, the total distance travelled by bug is 90 feet .
To know more about Right angle triangle here :
https://brainly.com/question/3770177
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