An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the platform above the g

Question

An escalator 152 feet in length rises to a platform and makes a 31° angle with the ground. Find the height of the
platform above the ground.

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Vân Khánh 3 years 2021-08-30T10:52:32+00:00 1 Answers 19 views 0

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  1. Nem
    0
    2021-08-30T10:54:16+00:00
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    Answer:

    78.3 or 78.29

    Step-by-step explanation:

    We are asked to find the height of the figure which is the vertical side of the triangle. We are given an angle and we are a side opposite of that angle( the height of the platform) and the hypotenuse 152. So we are going to use sine.

    Opposite/Hypotenuse

    We use this equation

    \sin(theta) = \frac{opp}{hypo}

    Plug in the values

    \sin(31) = \frac{x}{152}

    Which is about 78.29

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