Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Chapter 2 - Section 2.2 - Calculators and Trigonometric Functions of an Acute Angle - 2.2 Problem Set: 32

Answer

$78.35^{\circ}$

Work Step by Step

To convert $78^{\circ} 21'$ to decimal degrees, let's break it as- $78^{\circ} 21'$ = $78^{\circ}$ + $21'$ Now on dividing $21'$ by 60, we have the number of "decimal degrees" equivalent to $21'$ (as $ 1^{\circ} = 60'$) Therefore $78^{\circ} 21'$ = $78^{\circ}$ + $(\frac{21}{60})^{\circ}$ $78^{\circ} 21'$= $78^{\circ}$ + $0.35^{\circ}$ $78^{\circ} 21'$= $78.35^{\circ}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.