Geometry and TrigonometryMediumAngle of a ramp from its length and rise
Geometry and Trigonometry practice question
A straight ramp is 10 metres long and rises 4 metres from one end to the other. What is the angle, in degrees, that the ramp makes with the horizontal, rounded to the nearest degree?
Answer: 24
sin θ = 4/10 = 0.4, so θ = sin⁻¹(0.4) ≈ 23.6°, which rounds to 24.
Common wrong answers
- If you answered 22
- 22 uses tan θ = 0.4.
- If you answered 40
- 40 reads the ratio 0.4 as an angle.
- If you answered 66
- 66 is the other acute angle.
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