Q. 26 - Precalculus Enhanced with Graphing Utilities

Question

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

$73°40\text{'}40\text{'}\text{'}$

Step-by-Step Solution

Answer

The solution is $73.67°$

Step1. Given information

$73°40\text{'}40\text{'}\text{'}$

Step2. Formula used

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

Step3. Calculation

We have

$$\begin{gathered} 73°40\text{'}40\text{'}\text{'} \\ =73°+40.\left(\frac{1}{60}\right)°+40.\left(\frac{1}{3600}\right)° \\ =73°+.666°+.011° \\ =73.671° \\ =73.67° \end{gathered}$$