Q. 32 - Precalculus Enhanced with Graphing Utilities

Question

convert each angle to DMS form. Round your answer to the nearest second.

$29.411°$

Step-by-Step Solution

Answer

The solution is $29°24\text{'}40\text{'}\text{'}$

Step1. Given information

$29.411°$

Step2. Formula used

$1°=60\text{'} and 1\text{'}=60\text{'}\text{'}$

Step3. Calculation

We have

$$\begin{gathered} 29.411° \\ =29°+0.411° \\ =29°+\left(0.411\right)\left(60\text{'}\right) \\ =29°+24.66\text{'} \\ =29°+24\text{'}+0.66\text{'} \\ =29°+24\text{'}+\left(0.66\right)\left(60\text{'}\text{'}\right) \\ =29°+24\text{'}+39.6\text{'}\text{'} \\ =29°+24\text{'}+40\text{'}\text{'} \\ =29°24\text{'}40\text{'}\text{'} \end{gathered}$$