The picture shows a sketch of escaladers in the underground station in Kyoto.

The escaladers go from A that lies on the track, over D to F, and ends in H which lies in the street level. Some of the measures are already on the picture.

- Find the lengths of D to E

- Find the angel A and the length of the escalader from A to D

The escalader from F to H is 25 meters long

- Find the high differences between tracks and street level (K to H)

- Find the length from A to K

Sorry ! We need the lenght of CE. Thanks

okay sorry, I missed some thing on the drawing.

A to E is 21 m

E to G is 4 m

ok ! thank you !

first question:

QUESTION 1:

(BC) perpenducular to (AE) and (DE) perpendicular to (AE).

If to lines are perpendicular to a same line,so they

are parallels

So (BC) and (DE) are parallels.

A is on (BD) and (CE) and (BC) parallel to (DE)

so, with the theorem of Thalés we have :

BC/DE = AC/AE = (AB/AD)

4/DE = 7/21 we use the cross system

we have : 4*21=7DE

4*21/7=DE

DE=12

Yes |BC| and |DE| are parallels.

And yes again |DE| is 12