What is the value of y?

17.5 ft
12.5 ft
11.6 ft
16.5 ft

(Image is attached)

y = 16.5

Step-by-step explanation:

We would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Considering triangle BCD,

BD² = 14² - 8²

BD² ° 196 - 64 = 132

BD = √132

Considering triangle ABD,

AB² = BD² + y²

AB² = (√132)² + y²

AB² = 132 + y²- - - - - - - - - - 1

Considering triangle ABC,

(8 + y)² = AB² + BC²

(8 + y)² = AB² + 14²

(8 + y)² = AB² + 196

AB² = (8 + y)² - 196- - - - - - - -2

Substituting equation 1 into equation 2, it becomes

132 + y² = (8 + y)² - 196

y² - (8 + y)² = - 196 - 132

y² - (64 + 16y + y²) = - 328

y² - 64 - 16y - y2 = - 328

- 16y = - 328 + 64

- 16y = - 264

y = - 264/- 16

y = 16.5

not sure but it may be b, as i said i'm not sure.

aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.

i hope that this ! : p

"stay and stay proud! " - zalgo

(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)