Q. 29 - Precalculus Enhanced with Graphing Utilities

Question

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

$40.32°$

Step-by-Step Solution

Answer

The solution is $40°19\text{'}12\text{'}\text{'}$

Step1. Given information

$40.32°$

Step2. Formula used

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

Step3. Calculation

We have

$$\begin{gathered} 40.32° \\ =40°+.32° \\ =40°+(0.32)\left(60\text{'}\right) \\ =40°+19.2\text{'} \\ =40°+19\text{'}+0.2\text{'} \\ =40°+19\text{'}+\left(0.2\right)\left(60\text{'}\text{'}\right) \\ =40°+19\text{'}+12\text{'}\text{'} \\ =40°19\text{'}12\text{'}\text{'} \end{gathered}$$