A guy wire is 25 m long. It is attached to an anchor on the ground 7 meters from the base of the TV shower. How y’all is the tower
use the Pythagorean Theorem to find the height.
Just to save yourself some time, you might learn a few basic integer-sided right triangles
3-4-5
8-15-17
7-24-25
and their multiples
These tend to pop up frequently in problems
169 - 144= 25 :)
13^2 - 12^2 = 5^2
5 12 13
my favorite
7^2 + y^2 = 25^2.
To find the height of the tower, you can use the Pythagorean theorem.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.
In this case, the guy wire, the base of the tower, and the height of the tower form a right triangle.
Given that the guy wire is 25 meters long and the anchor is 7 meters from the base of the tower, we can label the sides of the triangle as follows:
Hypotenuse (guy wire) = 25 m
Base (distance from anchor to base of the tower) = 7 m
Height (tallness of the tower) = ?
Applying the Pythagorean theorem:
\[ hypotenuse^2 = base^2 + height^2 \]
Substituting the given values:
\[ 25^2 = 7^2 + height^2 \]
Simplifying:
\[ 625 = 49 + height^2 \]
Subtracting 49 from both sides:
\[ height^2 = 576 \]
Taking the square root of both sides:
\[ height = \sqrt{576} \]
Therefore, the height of the tower is 24 meters.