A ramp is needed to allow vehicles to climb a 2 foot wall. The angle of elevation in order for the vehicles to safely go up must be 30 o or

Question

A ramp is needed to allow vehicles to climb a 2 foot wall. The angle of elevation in order for the vehicles to safely go up must be 30 o or less, and the longest ramp available is 5 feet long. Can this ramp be used safely

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Calantha 5 mins 2021-07-22T09:58:24+00:00 1 Answers 0 views 0

Answers ( )

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    2021-07-22T09:59:36+00:00

    Answer:

    Yes the ramp can be safely used

    Explanation:

    Here, we have

    Length of longest ramp = 5 ft

    Height of wall = 2 ft

    Therefore, the sine of the angle adjacent to the ramp which is equal to the angle of elevation is given by;

    Sin\theta = \frac{Opposite \, side \, to\,  angle}{Hypothenus\, side \, of\,  triangle}

    Where:

    The opposite side to angle = 2 ft wall and

    Hypotenuse side = Ramp = 5 ft

    Therefore,

    Sin\theta = \frac{2}{5} = 0.4 and θ = sin⁻¹0.4 = 23.55 °

    The ramp can be safely used as the angle it is adjacent to is less than the specified 30°.

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