A flagpole has a height of

6565
yards. It will be supported by three​ cables, each of which is attached to the flagpole at a point
55
yards below the top of the pole and attached to the ground at a point that is
3232
yards from the base of the pole. Find the total number of yards of cable that will be required.

So this flagpole is almost 4 miles high? WOW

And the cables are attached almost 2 miles from the base of this massive flagpole??

Check your typing, I bet you dropped a decimal point or something.

To find the total length of cable required, we need to calculate the length of each cable first.

Each cable forms a right triangle with the flagpole. The height of the flagpole is given as 6565 yards. The attachment point on the flagpole is 55 yards below the top of the pole, so the length of the vertical side of the triangle is 6565 - 55 = 6510 yards.

The horizontal side of the triangle is the distance from the base of the pole to the point where the cable attaches to the ground, which is given as 3232 yards.

Using the Pythagorean theorem (a^2 + b^2 = c^2), we can find the length of each cable:

c^2 = a^2 + b^2

c^2 = 6510^2 + 3232^2

c^2 = 42320100 + 104513024

c^2 = 146833124

c = √146833124

Calculating the square root, we find:

c ≈ 12118.05 yards

Therefore, the length of each cable is approximately 12118.05 yards.

Since there are three cables, the total length of cable required is:

Total length = Length of each cable * Number of cables

Total length = 12118.05 yards * 3

Total length = 36354.15 yards

Therefore, the total number of yards of cable required is approximately 36354.15 yards.