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use similar triangles to solve. a person who is 5 feet tall is standing 140 ft from the base of a tree and the tree cast a 154 foot shadow. the person's Shadow is 14 ft in length what is the height of the tree

use similar triangles to solve a person who is 5 feet tall is standing 140 ft from the base of a tree and the tree cast a 154 foot shadow the persons Shadow is class=

Respuesta :

carlosego
For this case we have the following relationship using similarity of triangles:
 (x / 154) = (5/14)
 Clearing the value of x we have:
 x = (5/14) * (154)
 Rewriting we have:
 x = 55 feet
 Answer:
 the height of the tree is:
 x = 55 feet
To find the height of the tree, you can create a proportion with the information that is given and solve for the height.

Heights:                x              5 feet
Base Lengths:    154 feet      14 feet

14x = 770
14       14
x = 55 feet

The height of the tree is 55 feet.

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