Question

Convert to decimal degrees.

-(167° 31”)

[?]°

Enter your answer with three decimal places.

Answer 1

The angle in decimal form is 167.009°.

Explanation:

We know an angle in terms of integer angles, minutes and seconds, whose conversion into decimal degrees is expressed by the following formula:

`\theta = n + (m)/(60)+(s)/(3600)` (1)

Donde:

`n` - Integer angle, in sexagesimal degrees.

`m` - Minutes.

`s` - Seconds.

If we know that
`n = 167`,
`m = 0` and
`s = 31''`, then the angle in decimal form is:

`\theta = 167^(\circ)+(0)/(60)^(\circ) + (31)/(3600)^(\circ)`

`\theta = 167.009^(\circ)`

The angle in decimal form is 167.009°.