Question

Express 30°25'45" as a decimal of a right angle with explanation.​

Answer 1

Recall that 1 degree = 60 minutes and 1 minute = 60 seconds

Thus, 1 degree = 3600 seconds

This implies,

1 minute = $\frac{1}{60}$ degree

1 second = $\frac{1}{3600}$ degree

Now,

30°25'45"

= 30 degrees  25 minutes 45 seconds

= 30 degrees + $\frac{25}{60}$ degree + $\frac{45}{3600}$ degree

= $\frac{30\times 3600+25\times 60 + 45}{3600}$ degrees

= $\frac{108000+1500+45}{3600}$ degrees

= $\frac{109545}{3600}$ degrees

≈ 30.4292 degrees

Therefore, the required decimal would be 30.4292°.

Answer 2

Step-by-step explanation:

read this carefully..........