Solve the Problem $16.82 ^ { \circ }$ the Next Day, a Different Surveyor Measured the Same

question 69

Multiple Choice

Solve the problem.
-A surveyor recording data for a new subdivision measured an angle as $16.82 ^ { \circ }$ . The next day, a different surveyor measured the same angle as $16 ^ { \circ } 31 ^ { \prime }$ . Find the difference between these measurements (i) to the nearest minute and (ii) to the nearest hundredth of a degree.

• A) (i) \(80 ^ { \prime }\)
• (ii) \(1.34 ^ { \circ }\)
• B) (i) \(18 ^ { \prime }\)
• (ii) \(0.30 ^ { \circ }\)
• C) (i) \(51 ^ { \prime }\)
• (ii) \(0.51 ^ { \circ }\)
• D) (i) \(43 ^ { \prime }\)
• (ii) \(0.48 ^ { \circ }\)

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Definitions:

Equation

An equation is a mathematical statement that asserts the equality of two expressions, typically including one or more variables.

Decimal Places

The number of digits to the right of the decimal point in a number, indicating the precision or fraction part.

Percent

A part per hundred ratio, a way of expressing a number as a fraction of 100.

Decimal

A number representing a fraction or a whole number using a point to separate the whole part from the fractional part.