A square canopy is supported on 4 corners by poles. Each pole is supported by 3 cables, each is attached to the top of the 12 foot pole and 5 feet away from the base. Find the length needed for the all of the cables.
A. 144 ft
B. 156 ft
C. 51 ft
D.204 ft
Yeah..I did......the post and the distance the cable is anchored from the post represent the two legs....so we have:
12^2 + 5^2 = h^2 where h is the hypotenuse (the cable length) ...so...
144 + 25 = h^2
169 = h^2 take the square root of both sides
13 = h = the cable length in feet
Does that make sense???
Each cable forms a right triangle with the post..... the post = 12 feet, the distance the cable is anchored from the post = 5 feet... and the cable length itself = the hypotenuse = √[12^2 + 5^2] = √169 = 13 feet
And we have 3 of these on each post and 4 posts in total....so...the total length = (13)(3)(4) = (13)(12) = 156 ft
Yeah..I did......the post and the distance the cable is anchored from the post represent the two legs....so we have:
12^2 + 5^2 = h^2 where h is the hypotenuse (the cable length) ...so...
144 + 25 = h^2
169 = h^2 take the square root of both sides
13 = h = the cable length in feet
Does that make sense???