SOLUTION: A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed below, includes information they have either resear

Algebra ->  Triangles -> SOLUTION: A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed below, includes information they have either resear      Log On


   

Question 1181055: A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed below, includes information they have either researched or measured. They need to build a tunnel from the point E to the point H on the sketch. Calculate the distance from E to H. When similar triangles are used, explain how you know they represent similar triangles before performing the calculation
PHOTO LINK-
https://docs.google.com/document/d/1OFTDWkIOkTCkQf5IV2W8ts5faEuJO8tg4EreO4pTsg8/edit?usp=sharing
Found 2 solutions by Solver92311, MathLover1:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


What is it about this problem that you don't understand? Are you unable to justify the fact that the triangles are similar or are you unable to perform calculations with proportions?

John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
triangle SFH is similar to triangle EGL

sides are proportional, so

SH%2FSF=EL%2FEG

380%2F225=EL%2F180

%28380%2F225%29180=EL

EL=304

triangle SIL is similar to triangle SFH , so

SL%2FSI=SH%2FSF

%28380%2B304%2BHE%29%2F700=380%2F225

684%2BHE=700%28380%2F225%29

684%2BHE=10640%2F9

HE=10640%2F9-684

HE=4484%2F9

HE=498.22

then the length of the tunnel is 498.22m