Q. 33 - Precalculus Enhanced with Graphing Utilities

Question

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

$19.99°$

Step-by-Step Solution

Answer

The solution is $19°59\text{'}24\text{'}\text{'}$

Step1. Given information

$19.99°$

Step2. Formula used

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

Step3. Calculation

We have

$$\begin{gathered} 19.99° \\ =19°+0.99° \\ =19°+\left(0.99\right)\left(60\text{'}\right) \\ =19°+59.4\text{'} \\ =19°+59\text{'}+0.4\text{'} \\ =19°+59\text{'}+\left(0.4\right)\left(60\text{'}\text{'}\right) \\ =19°+59\text{'}+24\text{'}\text{'} \\ =19°59\text{'}24\text{'}\text{'} \end{gathered}$$