
Brian W. answered 09/19/19
Experienced, Knowledgable & Fun-Loving K-12 and Aviation Tutor
At 3pm Loretta shadow is 1.05 m long her hight is 1.68 m at the same time of a day trees shadow is 6.8 m long how tall is the tree ? Round to nearest hundred if needs
This is a direct proportion of ratios. You can use a known height and shadow length to determine a missing value from a similar object.
In this case, the ratio of Loretta's shadow to her height is 1.05:1.68. We can use this information, given the same time of day, to determine the height of the tree given its know shadow length. 6.8:X
Set them up similar to two fractions side by side so that you can work with them:
1.05 6.8
1.68 X
Now cross multiply and set on either side of an equation: 1.05X = 11.424
Now solve for X and you will have the height of the tree. The ratio of the shadow to height of the tree is equal to the ratio of the shadow to height of the person, given that it is the same time of day in the same location on Earth.