Chapter 4.1, Problem 74E

To determine

Find the difference of the two given angles ${\text{120}}^{0}45\text{'}29\text{'}\text{'}$ and $12{}^{0}36\text{'}03\text{'}\text{'}$

Answer to Problem 74E

  $108{}^{0}9\text{'}26\text{'}\text{'}$

Explanation of Solution

Given: Two angles ${\text{120}}^{0}45\text{'}29\text{'}\text{'}$ and $12{}^{0}36\text{'}03\text{'}\text{'}$

Concept Used:

Formally, the number being subtracted is known as the subtrahend, while the number it is subtracted from is the minuend. The result is the difference.

We can write: minuend - subtrahend = difference.

For subtraction we can use the formulas: $\begin{array}{l}{1}^0=60\text{minutes}\\ 1\text{minute}=60\text{seconds}\end{array}$

Calculation:

We know that       Difference::

  $\begin{array}{l}{1}^0=60\text{minutes}\\ 1\text{minute}=60\text{seconds}\end{array}$ $\begin{array}{l}{\text{120}}^{0}45\text{'}29\text{'}\text{'}\\ -\underrightarrow{12{}^{0}36\text{'}03\text{'}\text{'}}\\ 108{}^{0}9\text{'}26\text{'}\text{'}\end{array}$

Thus, the difference of two angles ${\text{120}}^{0}45\text{'}29\text{'}\text{'}$ and $12{}^{0}36\text{'}03\text{'}\text{'}$ is $108{}^{0}9\text{'}26\text{'}\text{'}$