A pole that is 2.9 m tall casts a shadow that is 1.77 m long. At the same time, a nearby tower casts a shadow that is 47.25 m long. Ho

Question

A pole that is 2.9 m tall casts a shadow that is 1.77 m long. At the same time, a nearby
tower casts a shadow that is 47.25 m long. How tall is the tower? Round your answer to the nearest meter.

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Delwyn 3 weeks 2021-08-25T02:43:41+00:00 1 Answers 0 views 0

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    2021-08-25T02:45:39+00:00

    Answer:

    77 m

    Step-by-step explanation:

    The 2 situations are similar , so the ratios of corresponding sides are equal.

    let h be the height of the tower, then

    \frac{2.9}{h} = \frac{1.77}{47.25} ( cross- multiply )

    1.77h = 137.025 ( divide both sides by 1.77 )

    h ≈ 77 m ( to the nearest metre )

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