a support wire 12 yardslong is attached to the top of a utility pole 10yards tall and is then stretched out. to the earest tenth of a yard,find how far from the base of the pole wire will beattached to the ground-breaking
Use the Pythagorean Theorem.
a^2 + b^2 = c^2
No
how long must a wire be to reach from the top of a 12 telephone pole to a point on the ground 10m from the base of the pole
To solve this problem, we can use the Pythagorean Theorem. The support wire, the utility pole, and the distance from the base to the ground-breaking form a right triangle.
Let's label the length from the base of the pole to the ground-breaking as 'x'.
According to the problem, the support wire is 12 yards long, and the utility pole is 10 yards tall.
By using the Pythagorean Theorem, we can write the equation:
(x)^2 + (10)^2 = (12)^2
Simplifying the equation, we have:
x^2 + 100 = 144
Now, let's solve for 'x':
x^2 = 144 - 100
x^2 = 44
To find the value of 'x', we need to take the square root of both sides:
x = √(44)
Using a calculator or any mathematical tool, we find that the square root of 44 is approximately 6.63.
So, the distance from the base of the pole to the ground-breaking is approximately 6.63 yards.