Two poles are to be stalked in the ground as shown . if the angles made by the wire the ground are congruent. find the length of the wire needed

Gg easy

so we just use pythagorean theorem and stuff

ok, so since angles are same, then the 2 triangles ought to be similar

that means 
if the bottom left leg of the triangle is m, ten the other one is 25-m
so using math
12/m=8/(25-m)
times both sides by (m)(25-m)
12(25-m)=8m
300-12m=8m
300=20m
15=m
that means right side is 25-15=10
so we got 2 right triangles

left one is legs 15 and 12
right one is legs 10 and 8

so pythagorean theorem

if legs are a and b and hyptonuse is c then
a²+b²=c²
so
left one
15²+12²=c²
225+144=c²
369=c²
sqrt both sides
3√41=c

right triangles
8 by 10
8²+10²=c²
64+100=c²
164=c²
sqrt both sides
2√41

add
left+right=3√41+2√41=5√41

the length is 5√41 or aproximately 32.0156m