Question

Use similar triangles to solve. A person who is 6 feet tall is standing 130 feet from the base of a tree, and the tree casts a 143 foot shadow. The persons shadow is 13 feet in length. What is the height of the tree?

Answer 1

height of tree is 66 ft

Explanation:

given data

person height = 6 feet

base of a tree = 130 ft

tree shadow = 143 feet

persons shadow = 13 feet

solution

we consider here AB is tree and BC is man here

we take here ΔABE and ΔDEC are similarity rule

so here
`\angle` B and

`(AB)/(DE) = (BE)/(EC)`

`(h)/(6) = (143)/(13)`

solve it we get

h = 66

so height of tree is 66 ft