Question

express the following decimal degrees as degrees and minutes. round the answer to the nearest minute where necessary. 281.92° 28155° 200°10 281°54 281°55

Explanation:

Step1: Separate degrees and decimal part

The whole - number part is the degree. For \(281.92^{\circ}\), the degree part \(d = 281^{\circ}\). The decimal part is \(0.92\).

Step2: Convert decimal part to minutes

Since \(1^{\circ}=60'\), we use the formula \(m = 0.92\times60\).

$$m=0.92\times60 = 55.2'$$

Rounding \(55.2'\) to the nearest minute gives \(55'\).

Answer:

\(281^{\circ}55'\)