a post 47 m high is supported by two equal wires attached to its top and to two points on a level ground, each of it is 18 m from the food of the post. Find the length of each wire
each wire has length x, where
x^2 = 18^2 + 47^2
To find the length of each wire, we can use the Pythagorean theorem.
Let's consider the wires as two legs of a right triangle, with the post being the hypotenuse.
From the given information, we have:
- The height of the post (h) = 47 m
- The distance from the foot of the post to the ground (a) = 18 m
Let's label one of the wires as x.
Using the Pythagorean theorem, we can form the equation:
x^2 + 18^2 = 47^2
Simplifying this equation, we have:
x^2 + 324 = 2209
x^2 = 1885
Taking the square root of both sides, we get:
x = square root of 1885
Therefore, each wire is approximately the square root of 1885 meters long.