Answer:
The value is [tex]Y = 204 \ yards[/tex]
Step-by-step explanation:
From the question we are told that
The height of the flag pole is [tex]h = 66 \ yards[/tex]
The position of the cables on the pole with respect to its top is [tex]x = 6 \ yards[/tex]
The position of the cable from the base of the pole is [tex]w = 32 \ yards[/tex]
The number of cables is n = 3
Generally the length of one of the cable is obtained using Pythagoras theorem as follows
[tex]u = \sqrt{ (h - x)^2 + w^2}[/tex]
=> [tex]u = \sqrt{ (66 - 6)^2 + 32^2}[/tex]
=> [tex]u = 68 \ yards[/tex]
Generally the total number of yards of cable that will be required is mathematically represented as
[tex]Y = 3 * u[/tex]
=> [tex]Y = 3 * 68[/tex]
=> [tex]Y = 204 \ yards[/tex]
