Question

1. While searching through a an old trunk you found a treasure map that says a treasure chest was burried 27

chains due west of the US Capitol Building. The treasure chest has 50 talents of gold and is buried 3 chains deep
under ground. Through your research you have discovered that 1 talent is 30.2 kg and 1 chain is 20.1 meters. How
many meters from the US Capitol should you dig, and how deep will you have to dig to find the treasure chest?

Answer 1

To find the treasure chest based on the provided map, you would need to dig 542.7 meters due west of the US Capitol and 60.3 meters deep. The total weight of the 50 talents of gold in the chest would be 1510 kilograms.

Step-by-step explanation:

The question asks how many meters from the US Capitol Building a treasure chest is buried and how deep you need to dig to find it. The map indicates the treasure is 27 chains due west and 3 chains deep. Using the given conversions, where 1 chain equals 20.1 meters, you would need to dig 542.7 meters due west from the US Capitol (since 27 chains x 20.1 meters/chain = 542.7 meters). For the depth, 1 chain equals 20.1 meters, so 3 chains deep would be 60.3 meters underground (since 3 chains x 20.1 meters/chain = 60.3 meters).

If we want to calculate the total weight of the gold in talents, where 1 talent equals 30.2 kg, the chest has 50 talents of gold, which would weigh 1510 kilograms (since 50 talents x 30.2 kg/talent = 1510 kg).

Answer 2

See the answer below

Step-by-step explanation:

From the illustration;

1 chain = 20.1 meters

1 talent = 30.2 kg

The map says the treasure chest was buried 27 chains due west and 3 chains deep under the ground.

27 x 20.1 = 542.7 meters.

3 x 20.1 = 60.3 meters

This means that one would need to travel 542.7 meters due west from the US Capitol and dig 60.3 meters under the ground in order to locate the treasure chest.

The treasure chest has 50 talents of gold:

50 x 30.2 = 1,510 kg of gold.