Question

Conver 9°18'42" to a decimal number of degrees.Do not round any intermediate computations.Round your answer to the nearest thousandth.

Answer 1

To convert from degrees to decimal, we use the formula shown below:

$DD=d+\frac{\min}{60}+\frac{\sec}{3600}$

Where

DD is the decimal degree

d is the degree (whole) in original degree/min/sec given

min is the minutes

sec is the number of seconds

Now,

Given,

d = 9

min = 18

seconds = 42

We substitute and find out the answer:

$\begin{gathered} DD=d+\frac{\min}{60}+\frac{\sec}{3600} \\ DD=9+\frac{18}{60}+\frac{42}{3600} \\ DD=9+0.3+0.011666 \\ DD=9.311666 \end{gathered}$

Rounding the answer to nearest thousandth (3 decimal places):

DD = 9.312