An electric pole touches the ground due to bending in a wind. It is found that standing part of pole is equal to the distance of end touching the ground. If the end touching the ground from the pole is at distance 4 m, what was the length of pole before bending ?
9.66
To find the length of the pole before bending, we need to determine the length of the standing part of the pole. Let's call the length of the standing part "x".
From the given information, we know that the distance of the end of the pole touching the ground is 4 meters. Since the standing part is equal to this distance, we can set up the equation:
x = 4
Now, since the pole is bent and touching the ground, we can consider it as a right-angled triangle. The standing part of the pole forms one side of the triangle, and the length of the pole before bending is the hypotenuse. The part of the pole touching the ground forms the other side of the triangle.
Using the Pythagorean theorem, we can relate the length of the pole before bending (hypotenuse), the standing part (one side), and the part touching the ground (other side) as follows:
Length of pole before bending = √(x^2 + (4)^2)
Substituting the value of x (which we found earlier) into the equation, we have:
Length of pole before bending = √(4^2 + 4^2)
= √(16 + 16)
= √32
Simplifying the square root of 32, we get:
Length of pole before bending ≈ 5.657 meters
Therefore, the length of the pole before bending is approximately 5.657 meters.