Write 45˚ 9’ 30” using decimal degrees.
How do I do this problem?
Each minute is 1 sixtieth of a degree (1/60)°, and each second is 1 sixtieth of minute, or one thirty-six hundredth of a degree [(1/60)(1/60)]° = [1/(60)²]° = (1/3600)°. So we can write the decimal equivalent like this:
45° 9' 30'' = 45° + 9(1/60)° + 30(1/3600)°.
Then we get this:
45° 9' 30'' = 45° + (9/60)° + (30/3600)°
45° 9' 30'' = 45° + 0.15° + 0.008333...°
45° 9' 30'' = 45.158333...°
45.1583
Scientific calculator.
Copyright © 2024 1QUIZZ.COM - All rights reserved.
Answers & Comments
Verified answer
Each minute is 1 sixtieth of a degree (1/60)°, and each second is 1 sixtieth of minute, or one thirty-six hundredth of a degree [(1/60)(1/60)]° = [1/(60)²]° = (1/3600)°. So we can write the decimal equivalent like this:
45° 9' 30'' = 45° + 9(1/60)° + 30(1/3600)°.
Then we get this:
45° 9' 30'' = 45° + (9/60)° + (30/3600)°
45° 9' 30'' = 45° + 0.15° + 0.008333...°
45° 9' 30'' = 45.158333...°
45.1583
Scientific calculator.