A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How ta

Question

A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building? Round to the nearest meter

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Khải Quang 5 years 2021-07-20T01:39:09+00:00 1 Answers 16 views 0

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  1. thienan
    0
    2021-07-20T01:40:20+00:00
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    Answer:

    86.8 m long

    Step-by-step explanation:

    A pole that is 2.5 m tall casts a shadow that is 1.34 m long. At the same time, a nearby building casts a shadow that is 46.5 m long. How tall is the building? Round to the nearest meter

    We solve the above question using the Proportion formula:

    Height of the pole/Shadow of the pole = Height of the building /Shadow of the building

    Height of the pole = 2.5m

    Shadow of the pole = 1.34 m

    Height of the building = x

    Shadow of the building = 46.5m

    Hence:

    2.5m/1.34m = x/46.5m

    Cross Multiply

    1.34m × x = 2.5m × 46.5m

    x = 2.5m × 46.5m/1.34m

    x = 86.753731343m

    Approximately , The height of the building = 86.8 m

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