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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

two poles are to be stalked in the ground as shown . if the angles made by the wire-example-1

1 Answer

6 votes
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
User Carrosive
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