Question

A flagpole has a height of 66 yards. It will be supported by three cables, each of which is attached to the flagpole at a point 6 yards below the top of the pole and attached to the ground at a point that is 32 yards from the base of the pole. Find the total number of yards of cable that will be required

Answer 1

The value is
`Y = 204 \ yards`

Explanation:

From the question we are told that

The height of the flag pole is
`h = 66 \ yards`

The position of the cables on the pole with respect to its top is
`x = 6 \ yards`

The position of the cable from the base of the pole is
`w = 32 \ yards`

The number of cables is n = 3

Generally the length of one of the cable is obtained using Pythagoras theorem as follows

`u = √( (h - x)^2 + w^2)`

=>
`u = √( (66 - 6)^2 + 32^2)`

=>
`u = 68 \ yards`

Generally the total number of yards of cable that will be required is mathematically represented as

`Y = 3 * u`

=>
`Y = 3 * 68`

=>
`Y = 204 \ yards`