Lena is 5.9 feet tall. Late one afternoon, her shadow was 8 feet long. At the same time, the shadow of a nearby tree was 24 feet long. Find the height of the tree.

The ratio of the heights of Lena and the tree to the lengths of their shadow are equal.

The height of the tree is 23 feet

Reasons:

Lena's height = 5.9 feet

The length of his shadow = 8 feet

The length of the shadow of the nearby tree = 24 feet

Required:

The height of the tree

Solution:

Using common ratios formed by the similar triangles formed by the

shadows cast by the tree and Lena, we have;

Therefore, we have;

Which gives;

The height of the tree = 23 feet

Learn more about similar triangles here:

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