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…

Question

asked May 28, 2021 12.4k views

1 Answer

Larry Turtis · Answer 1 · 2021-06-02T15:36:24+0000

Answer:

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

=>
$Y = 204 \ yards$