Question

a flagpole has a height of 53 yards. it will be supported by three cables, each of which is attached to the flagpole at a point 5 yards below the top of the pole and attached to the ground at a point that is 20 yards from the base of the pole. find the total number of yards of cable that will be required.

the flagpole will be supported by a total of \\(\square\\) of cable.
(round to the nearest whole number as needed.)

Explanation:

Step1: Calculate attachment height

Attachment height = 53 - 5 = 48 yards

Step2: Find single cable length

Use Pythagoras: $c = \sqrt{48^2 + 20^2} = \sqrt{2304 + 400} = \sqrt{2704} = 52$ yards

Step3: Total cable length

Total = 3 × 52 = 156 yards

Answer:

156