Precision and accuracy are two related concepts regarding measurements. Precisio

Question

Precision and accuracy are two related concepts regarding measurements. Precision refers to the number of significant digits in a measurement, while accuracy refers to how close a measurement is to the actual. Giving a distance measurement as 2 km is less precise than giving it as 2.0 km or 2.00 km. If you were going to meet a friend in the Lake Nakuru National Park in Kenya, and your friend's location was 0 degree, 36 degree E, how many square kilometers would you have to lock through? Your friend's location is precise to a full degree so you would have to look in an area 1 degree by 1 degree. At this location, 1 degree of both longitude and latitude are approximately 111 km (69 mi), so you would have to look for your friend in 12, 321 km^2 (4761 mi^2). If your friend's location was given 10 times as precisely as 0.0 degree, 36.0 degree E, you would have to look in an area 1/10th of a degree by 1/10th of a degree, which would be 11.1 km by 11.1 km, or 123.2 km^2. How large an area would you have to look through if your friend's location were given as 0.00 degree, 36.00 degree E? Write your friend's location with sufficient precision so that you would only have to look in an area 111 m by 111 m.

Explanation / Answer

5. As per the information given in the question, the area we have to look through would be 1.11km by 1.11km or 1.2321 square kilometre.

6. To look into an area of 111m by 111m, my friend's location would have been precisely 0.000 degree, 36.000 deg East.

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