Anonymous
Anonymous asked in Science & MathematicsMathematics · 5 months ago

math help?

A pole that is 2.9m tall casts a shadow that is 1.53m long. At the same time, a nearby tower casts a shadow that is

45.25m long. How tall is the tower? Round your answer to the nearest meter.

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  • RR
    Lv 7
    5 months ago

    They are similar triangles, so there is a direct ratio between them

    A pole that is 2.9m tall casts a shadow that is 1.53m long.

    2.9/1.53 = 1.9

    At the same time, a nearby tower casts a shadow that is 45.25m long

    h/45.25 = 1.9

    h = 1.9 x 45.25

    h = 85.77

    Height of tower = 86 metres

  • David
    Lv 7
    5 months ago

    The height of the tower works out as 86 meters rounded up.

  • 5 months ago

    A pole that is 2.9 m tall casts a shadow that is 1.53 m long.

    At the same time, a nearby tower casts a shadow that is 45.25 m long.

    t/45.25 = 2.9/1.53

    t ≈ 85.768

    The tower is 86 meters tall

    (Answer rounded to the nearest meter).

  • Mike G
    Lv 7
    5 months ago

    2.9*45.25/1.53 =

    85.77 m

    Answer 86 m

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  • DWRead
    Lv 7
    5 months ago

    The ratio of height to shadow length is the same for the pole and tower.

    x/45.25 = 2.9/1.53

    x ≅ 85.76 m

  • ?
    Lv 7
    5 months ago

    // Set up a proportion comparing heights to shadows,

    // with x representing the height of the tower.

    // Then solve for x.

    2.9 cm........x

    --------- = ---------

    1.53m.....45.25m

    ......(29 cm)(45.25m)

    x = ----------------------

    ..............1.53m

    x = 857.68cm = 8.58m = 9m (rounded to the nearest meter)......ANS

  • alex
    Lv 7
    5 months ago

    Hint:

    They have the same ratio

  • 5 months ago

    By ratios we have 2.9/1.53 = x/45.25; so that x = 45.25*(2.9/1.53) = 85.76797386 meters, you can do the rounding. ANS.

  • 5 months ago

    2.9/1.53 = 1.89

    Pole is 1.89 times taller than its shadow

    45.25 x 1.89 = 85.52 meters rounded up to 86 meters

  • 5 months ago

    Hmm.. Ask your local fire department.

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