Geometry and TrigonometryVery hardAngle from a tangent of 1/√3
Geometry and Trigonometry practice question
For an acute angle θ, tan θ = 1/√3. What is the measure of θ, in degrees?
Answer: 30
In a 30°-60°-90° triangle with short leg 1 and long leg √3, the angle opposite the short leg has tangent 1/√3. So θ = 30°.
Common wrong answers
- If you answered 45
- 45° has tangent 1.
- If you answered 60
- 60° has tangent √3, the reciprocal.
- If you answered 33.3
- 33.3 is 1/3 × 100 — not how an angle is found from a tangent.
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