← Back to the programme
    IBMediumGeometry & Trigonometry7–9

    Is the Ramp Within the Eight-Degree Limit

    A Rampa Está Dentro do Limite de Oito Graus

    A wheelchair ramp rises 1.21.2 m over a horizontal distance of 7.57.5 m. The local regulation allows a ramp angle of at most 8∘8^\circ to the horizontal. Find the angle of the ramp and decide whether it meets the regulation.

    You are given the side opposite the angle and the side adjacent to it, and no hypotenuse. That pairing selects one of the three ratios; the inverse function then turns the ratio back into an angle.

    Solution

    Step 1 of 5

    1. 1.Opposite and adjacent are known, so use the tangent: