Question

Convert the given angle to decimal degrees. Round to 4 decimal places. o 65°54'32''a Х 5

Answer 1

SOLUTION;

The equation of degree minutes and seconds combination is

$=65^{\circ}54'32''$

That means 65 degree 54 minutes and 32 second

We know that, 60 minutes = 1degree

And 60 second=1 minutes

So, 3600 seconds =1 degree

Now,

$=65^{\circ}54'32''$

$=65^{\circ}+(\frac{52}{60})^{\circ}+(\frac{32}{3600})^{\circ}$

$=65^{\circ}+(0.9)^{\circ}+(0.0089)^{\circ}$

$=65.9089^{\circ}$

$65^{\circ}54'32''=65.9089^{\circ}$

Answer

$65^{\circ}54'32''=65.9089^{\circ}$