Question

o trees are growing in a clearing. The first tree is 5.6 feet tall and casts a 4.2-foot shadow. The second tree casts a 42.3-foot shadow. How tall is the second tree to the nearest tenth of a foot?

Answer 1

The second tree is 56.4 ft tall.

Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are identical, their respective sides are equal in number and their corresponding angles are congruent.

Let the length of the tall tree be x. Thus by similarity of triangles we get,

Length of small tree/ Shadow Length of small tree =

Length of  Tall tree/ Shadow Length of tall tree

Substituting the values we get,

5.6/4.2 = x/42.3

x = 56.4

Thus the second tree is 56.4 ft tall.

Learn more about Similarity of triangles here :

brainly.com/question/25882965

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