Q. 24 - Precalculus Enhanced with Graphing Utilities

Question

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

$61°42\text{'}21\text{'}\text{'}$

Step-by-Step Solution

Answer

The solution is  $61.71°$

Step1. Given information

$61°42\text{'}21\text{'}\text{'}$

Step2. Formula used

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

Step3. Calculation

we have

$$\begin{gathered} 61°42\text{'}21\text{'}\text{'} \\ =61°+42.\left(\frac{1}{60}\right)°+21.\left(\frac{1}{3600}\right)° \\ =61°+0.7°+.00583° \\ =61.70583° \\ =61.71° \end{gathered}$$