Question

question 10
1 pts
express 25.17° as degrees and minutes. round the answer to the nearest minute.
10 degrees 25 minutes
30 degrees 30 minutes
25 degrees 10 minutes
26 degrees 20 minutes

Explanation:

Step1: Separate degrees and decimal part

The given angle is \(25.17^{\circ}\). The whole - number part is the degree measure. So, the degree measure \(d = 25^{\circ}\). The decimal part is \(0.17\).

Step2: Convert decimal part to minutes

We know that \(1^{\circ}=60'\). To convert the decimal part of the degree to minutes, we use the formula \(m=(0.17)\times60\).

$$m = 0.17\times60=10.2'$$

Step3: Round to the nearest minute

Rounding \(10.2'\) to the nearest minute, we get \(m\approx10'\)

Answer:

25 degrees 10 minutes