The two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
We have given that,
Amelia is 5 feet tall and casts a 4-foot shadow. A tree next to her casts a 12-foot shadow.
Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of a similar triangle are a ratio to each other.
The tree casts a shadow of 12 ft. Let's establish the proportion base on similar triangles. The height of the tree is h. Therefore,
h / 12 = 5 / 4
Therefore, h / 12 = 5 / 4
cross multiply
4h = 60
divide both sides by 4
h = 60 / 4
h = 15 ft
Therefore, the two equations that can be used to find the height are as follows
12 / 4 = h /5
5 / 4 = h / 12
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