A pole that is 3.4 m tall casts a shadow that is 1.37 m long. At the same time, a nearby tower casts a shadow that is 35.75 mlong. How tall is the tower? Round
your answer to the nearest meter.

Answer:

89 meters tall

Step-by-step explanation:

Create and use the ratio between the shadow and the object given in the problem. If a pole is 3.4 m tall and it's shadow is 1.37 m long. The ratio between the shadow and the object is 340 : 137 in terms of [length of the shadow : length of the object].

Denominator = bottom number of a fraction.

Numerator = top number of a fraction.

To get from one to the other, just convert the ratio into a fraction where the numerator corresponds to what you are converting to. This is because the length of the shadow × length of the object / length of the shadow = length of the object. The denominator cancels.

Just as the length of the object × length of the shadow / length of the object = length of the shadow.

So since 35.75 represents the length of the shadow, you multiply this by 340 / 137 which is 88.7226277372... ≈ 89 meters which is the length of the actual object (to the nearest meter, or whole meter).

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