Math Problem Statement

Write the angle in decimal degrees. 136 degrees 21 prime Question content area bottom Part 1 136 degrees 21 primeequalsnothing degrees

​(Type an integer or an exact decimal. If the decimal does not​ terminate, round to the nearest​ hundredth.)

Solution

To convert 13621136^\circ 21' into decimal degrees:

  1. Recall that 11' (minute) is equal to 160\frac{1}{60} degrees.
  2. Convert 2121' to degrees: 21=2160=0.3521' = \frac{21}{60} = 0.35^\circ
  3. Add this to 136136^\circ: 13621=136+0.35=136.35136^\circ 21' = 136 + 0.35 = 136.35^\circ

Final Answer:

13621=136.35136^\circ 21' = 136.35^\circ

Let me know if you'd like further explanation!


Related Questions:

  1. How do you convert seconds to decimal degrees?
  2. What is the process for converting radians to degrees?
  3. How can you find the total degrees if both minutes and seconds are given?
  4. What is the difference between decimal degrees and degrees-minutes-seconds notation?
  5. Why is it important to round to the nearest hundredth in practical applications?

Tip:

When converting minutes or seconds to decimal degrees, always divide by 60 (for minutes) or 3600 (for seconds) to ensure accuracy.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angle Conversion
Decimal Degrees

Formulas

1' = 1/60 degrees

Theorems

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Suitable Grade Level

Grades 8-10