To measure the distance (DC) across a pond, a surveyor takes points A and B so that AB is parallel to DC. If AB = 60 feet, EB = 48 feel, and ED = 80 feet, find DC.

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- Jan 15th 2007, 08:51 PMsymmetryFind DC
To measure the distance (DC) across a pond, a surveyor takes points A and B so that AB is parallel to DC. If AB = 60 feet, EB = 48 feel, and ED = 80 feet, find DC.

- Jan 16th 2007, 05:45 AMCaptainBlack
- Jan 16th 2007, 10:42 AMSoroban
Hello, symmetry!

Quote:

To measure the distance across a pond,

a surveyor takes points and so that .

If , find .

Code:`D * - - - - - - - - - - - - - - - * C`

* *

80 * *

* *

*E

* * 48

* *

A * - - - - - - - - - - - * B

60

From the similar triangles, we have: .

Therefore: .

- Jan 16th 2007, 11:05 AMgalactus
In real-life, the person helping the surveyor would go to the other side of the pond with a prism and the surveyor would measure the distance with the transit. That's no fun, though. Too easy.

- Jan 16th 2007, 02:21 PMsymmetryok
Thank you all, especially soroban. Soroban did a great job with the picture and reply.

Thanks!