Question

3 One end of a cable is attached to the top of a flagpole and the other end is attached 6 feet away from the base of the pole. If the height of the flagpole is 12 feet, find the length of the cable. Cable Flagpole 12 ft Y ke 6 ft Round your answer to the nearest tenth

Answer 1

The length of the cable is 13.4 ft

Here, we want to find the height of the cable

By the given information in the question, we start with a diagrammatic representation of the information

We have this as follows;

As seen from above, what we have is a right-triangle, with the cable length representing the hypotenuse (the longest side)

Using Pythagoras' theorem, we can get the cable length

The square of the length of the hypotenuse is equal to the sum of the squares of the two other sides

Mathematically, we have this as follows (we are representing the length of thecable by c0

Thus, we have it that;

`\begin{gathered} c^2=12^2+6^2 \\ c^2\text{ = 144 + 36} \\ c^2\text{ = 180} \\ \text{c = }\sqrt[]{180} \\ c\text{ = 13.4 ft} \end{gathered}`