Q. 25 - Precalculus Enhanced with Graphing Utilities

Question

Convert each angle to a decimal in degrees. Round your answer to two decimal places.

$1°2\text{'}3\text{'}\text{'}$

Step-by-Step Solution

Answer

The solution is$1.03°$

Step1. Given information

$1°2\text{'}3\text{'}\text{'}$

Step2. Formula used

$1\text{'}=\left(\frac{1}{60}\right)° and 1\text{'}\text{'}=\left(\frac{1}{3600}\right)°$

Step3. Calculatiobn

We have

$$\begin{gathered} 1°+2\text{'}+3\text{'}\text{'} \\ =1°+2.\left(\frac{1}{60}\right)°+3.\left(\frac{1}{3600}\right)° \\ =1°+.033°+.00083° \\ =1.03383° \\ =1.03° \end{gathered}$$