Chapter 6.1, Problem 61AYU

To determine

To find: The given angle to a decimal degree.

Answer to Problem 61AYU

Solution:

$50.24°$

Explanation of Solution

Given:

$50°14^{\prime }20^{″}$

Calculation:

$50°14^{\prime }20^{″}=50°+\left(\frac{14}{60}\right)°+\left(\frac{20}{3600}\right)°$, since there are 60 minutes in 1 degree and 60 seconds in one minute, or ${\left(60\right)}^2$ seconds in 1 degree.

$=50.24°$