Ind Measures \begin{tabular}{l|l}$$ \alpha=53.3699^{\circ} $$ & HW Score: $$ 50 \%, 9 $$ of 18 points \ Convert the following angle to degrees, minutes, and seconds form. & $$ \begin{array}{l} ext { The answer is } \square^{\circ} \square_{\prime}^{\prime} \square^{\prime \prime} \ ext { (Simplify your answers. Round to the nearest second as needed.) }\end{array} $$ \ \hline\end{tabular}

Question

Ind Measures \begin{tabular}{l|l}$$ \alpha=53.3699^{\circ} $$ & HW Score: $$ 50 \%, 9 $$ of 18 points \ Convert the following angle to degrees, minutes, and seconds form. & $$ \begin{array}{l}	ext { The answer is } \square^{\circ} \square_{\prime}^{\prime} \square^{\prime \prime} \ 	ext { (Simplify your answers. Round to the nearest second as needed.) }\end{array} $$ \ \hline\end{tabular}

UpStudy AI · Accepted Answer

1. Write the given angle in decimal degrees:  
   $$
   53.3699^\circ
   $$

2. Identify the whole number part as the degrees:  
   $$
   \text{Degrees} = 53^\circ
   $$

3. Convert the fractional part ($$0.3699^\circ$$) to minutes:  
   $$
   0.3699^\circ \times 60 = 22.194 \text{ minutes}
   $$  
   The whole number part of this product is the minutes:  
   $$
   \text{Minutes} = 22'
   $$

4. Convert the remaining fractional part of the minutes ($$0.194$$ minutes) to seconds:  
   $$
   0.194 \times 60 \approx 11.64 \text{ seconds}
   $$  
   Rounding to the nearest second, we have:  
   $$
   \text{Seconds} = 12''
   $$

5. Therefore, the angle $$53.3699^\circ$$ in degrees, minutes, and seconds is:  
   $$
   53^\circ\, 22'\, 12''
   $$
$$53^\circ\, 22'\, 12''$$

Ind Measures

HW Score: of 18 points

Convert the following angle to degrees, minutes, and seconds form.

Upstudy AI Solution

Answer

Solution

Mind Expander

Related Questions

Latest Trigonometry Questions

	HW Score: of 18 points
Convert the following angle to degrees, minutes, and seconds form.

Ind Measures HW Score: of 18 points Convert the following angle to degrees, minutes, and seconds form.