'Convert each angle measure to decimal degrees. Round to the nearest thousandth of a degree.'
20°54'
38°42'
91°35'54"
34°51'35"
274°18'59"
165°51'9"
Can someone explain how to do this on a scientific calculator? The teacher told me you use just a calculator and press certain buttons...
One way to do it is just to add the degrees to 1/60 times the minutes plus 1/3600 times the seconds. For example:
$${\mathtt{91}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{35}}}{{\mathtt{60}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{54}}}{{\mathtt{3\,600}}}} = {\mathtt{91.598\: \!333\: \!333\: \!333\: \!333\: \!3}}$$
One way to do it is just to add the degrees to 1/60 times the minutes plus 1/3600 times the seconds. For example:
$${\mathtt{91}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{35}}}{{\mathtt{60}}}}{\mathtt{\,\small\textbf+\,}}{\frac{{\mathtt{54}}}{{\mathtt{3\,600}}}} = {\mathtt{91.598\: \!333\: \!333\: \!333\: \!333\: \!3}}$$