Amelia is 5 ft tall and casts a 4-foot shadow. The two triangles formed are similar because the angle to the sun is the same. Ch

Question

Harlamova29_29 [7]

2 years ago

13

Amelia is 5 ft tall and casts a 4-foot shadow. The two triangles formed are similar because the angle to the sun is the same. Ch

oose two equations that can be used to find the height, h, of the tree.

Mathematics

1 answer:

Alika [10] · Answer 1 · 2023-10-10T12:43:23+03:00

The two equations that can be used to find the height are as follows:

12 / 4 = h /5
5 / 4 = h / 12

<h3>Similar Triangles</h3>

Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of similar triangle are a ratio of each other.

The tree cast 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

learn more on similar triangles here: brainly.com/question/12685664?referrer=searchResults