For this case we have:
You want to run a cable from the top of a 25 meter high tower to a
point located 50 meters from the base of the tower. How long should the cable measure?
Looking at the attached figure, we have to find the length of the hypotenuse of the triangle, which corresponds to the length of the cable. To do this, we apply the Pythagorean theorem:
[tex]h ^ 2 = a ^ 2 + b ^ 2[/tex]
Where:
h: It is the hypotenuse
a, b: They are the legs of the triangle
In this case we have:
[tex]a = 25 \ m\\b = 50 \ m[/tex]
Substituting:
[tex]h = \sqrt {25 ^ 2 + 50 ^ 2}\\h = \sqrt {625 + 2500}\\h = \sqrt {3125}\\h = 55.92 \ m[/tex]
Thus, the length of the cable is [tex]55.92 \ m[/tex]
Answer:
The cable length is [tex]55.92 \ m[/tex]
