Question

Convert into a decimal degree measure. 165° 37' 44"

Answer 1

Answer:

165.628° (The 8 has a line over it signalizing that it repeats forever, but I didn't know how to put it in.)

Step-by-step explanation:

Since 165 is whole number, it is a full degree. Since each minute is equal to 1/60 degrees, you need to multiply 37 by 1/60. Since each second is equal to 1/3600 degrees, multiply it 1/3600 by 44. Add them all together.

165 + 37 x 1/60 + 44 x 1/3600

simplify: 74533/450

Convert the fraction into a decimal by dividing the numerator by the denominator and you get 165.628° (with a repeating 8).