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miguel is 5ft 10 inches tall On a sunny day he casts a shadow of 4ft 2 inches long. At the same time, a nearby electric tower casts a shadow 8ft 9 inches long. How tall is the tower?

Please help me set up the equation. Do i use is actual height or his shadow?

  • word problems -

    use a simple ratio

    height of man /shadow of man = height of tower/shadow of tower.

    notice I set up "like things" in the same pattern

    (5 10/12) / (4 2/12) = height of tower/(8 9/12)

    (35/6) / (25/6) = tower/(35/4)
    tower = (35/4)(35/6) / (25/6)
    = 49/4 inches or 12 ft 3 inches

  • word problems -

    I am totally confused by the way you did this. It totally lost me.

    Can you please tell me in a different way?

    Where did you get the 12 from in your fractions?

  • word problems -

    How many inches are in one foot?

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