Question

A flagpole has a height of 16 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 4 yards below the top of the pole and attached to the ground at a point that is 9 yards from the base of the pole. Find the total number of yards of cable that will be required.

Answer 1

Answer: There are 45 yards of cable that will be required.

Explanation:

Since we have given that

Height of cable = 16 yards - 4 yards = 12 yards

Distance from pole = 9 yards

cable is the hypotenuse of the right angled triangle.

So, it becomes,

`c^2=b^2+p^2\\\\c^2=1262+9^2\\\\c^2=144+81\\\\c^2=225\\\\c=√(225)\\\\c=15\ yards`

Since , number of cable supported = 3

So, Number of yards of cable that will be required would be

`3* 15\\\\=45\ yards`

Hence, there are 45 yards of cable that will be required.