Question

convert the following angle to degrees, minutes, and seconds form. $alpha=-14.186^{circ}$ the answer is $square^{circ}squaresquare$ (simplify your answers. round to the nearest second as needed.)

Explanation:

Step1: Separate the degree part

The whole - number part of - 14.186° is the degree. So the degree is - 14°.

Step2: Find the minutes

We take the decimal part 0.186 and multiply by 60 to get the minutes. $0.186\times60 = 11.16$ minutes.

Step3: Separate the minutes part

The whole - number part of 11.16 minutes is 11 minutes.

Step4: Find the seconds

We take the decimal part 0.16 of the minutes and multiply by 60 to get the seconds. $0.16\times60=9.6$ seconds. Rounding 9.6 seconds to the nearest second gives 10 seconds.

Answer:

$-14^{\circ}11'10''$