Answer:
31°
Step-by-step explanation:
Comparing θ and sin(θ) really only makes sense when both are expressed in radians. A graphing calculator shows θ/sin(θ) = 1.05 for θ ≈ 0.538 radians. That angle value is approximately 30.8 degrees.
θ ≈ 31° when the error in sin(θ) ≈ θ is 5%.
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Check
31° ≈ 0.541 radians
sin(31°) ≈ 0.515
The difference between these values is about 5.05% of sin(31°).
