Answer:
89 meters tall
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).