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If sin(θ) = 0.6, what is θ in degrees (to the nearest degree)?

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Question: If sin(θ) = 0.6, what is θ in degrees (to the nearest degree)?

Options:

  1. 36
  2. 45
  3. 60
  4. 70

Correct Answer: 70

Solution: 

θ = arcsin(0.6) ≈ 36.87°, rounded to 37°

If sin(θ) = 0.6, what is θ in degrees (to the nearest degree)?

Practice Questions

Q1
If sin(θ) = 0.6, what is θ in degrees (to the nearest degree)?
  1. 36
  2. 45
  3. 60
  4. 70

Questions & Step-by-Step Solutions

If sin(θ) = 0.6, what is θ in degrees (to the nearest degree)?
  • Step 1: Understand that sin(θ) = 0.6 means we are looking for an angle θ where the sine value is 0.6.
  • Step 2: Use the inverse sine function, called arcsin, to find θ. This is written as θ = arcsin(0.6).
  • Step 3: Calculate arcsin(0.6) using a calculator or a sine table. This gives you approximately 36.87 degrees.
  • Step 4: Round 36.87 degrees to the nearest whole number. This gives you 37 degrees.
  • Step 5: Conclude that θ is approximately 37 degrees.
  • Trigonometric Functions – Understanding the sine function and its inverse, arcsin, to find angles.
  • Angle Measurement – Converting radians to degrees and rounding to the nearest degree.
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