# How do you convert the angle 85^circ 18'30'' in decimal degree form?

Dec 17, 2017

${85.3083333}^{o}$

#### Explanation:

$1 ' = {\left(\frac{1}{60}\right)}^{o}$

$1 ' ' = {\left(\frac{1}{60}\right)}^{'} = \frac{1}{60 \cdot 60} ^ o = \frac{1}{3600} ^ o$

then,

$18 ' = 18 \times \left(\frac{1}{60}\right) = \left(\frac{18}{60}\right)$

$30 ' ' = 30 \cdot \left(\frac{1}{3600}\right) = \left(\frac{30}{3600}\right)$

You must do the calculations on your own or with a calculator:

$18 ' = {0.300}^{o}$

$30 ' ' = {0.0083333}^{o}$

${85.3083333}^{o}$