Chapter 12.1, Problem 36WE

To determine

Express in decimal degrees to the nearest hundredth of a degree .

Answer to Problem 36WE

  $33.25°$

Explanation of Solution

Given:

The angle is :

  $33°15\text{'}$

Formula Used:

  $1°=60\text{'}$

  $1\text{'}=60\text{'}\text{'}\Rightarrow 1°=\left(60\times 60\right)\text{'}\text{'}=3600\text{'}\text{'}$

Calculation:

  $33°15\text{'}=33°+\left(\frac{15}{60}\right)°=33°+0.25°=33.25°$