Q. 27 - Precalculus Enhanced with Graphing Utilities

Question

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

$9°9\text{'}9\text{'}\text{'}$

Step-by-Step Solution

Answer

The solution is $9.15°$

Step1. Given information

$9°9\text{'}9\text{'}\text{'}$

Step2. Formula used

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

Step3. Calculation

We have

$$\begin{gathered} 9°9\text{'}9\text{'}\text{'} \\ =9°+9.\left(\frac{1}{60}\right)°+9.\left(\frac{1}{3600}\right)° \\ =9°+.15°+.0025° \\ =9.1525° \\ =9.15° \end{gathered}$$