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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?

Respuesta :

Answer:

height of tree is 66 ft

Step-by-step 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 [tex]\angle[/tex] B and

[tex]\frac{AB}{DE} = \frac{BE}{EC}[/tex]

[tex]\frac{h}{6} = \frac{143}{13}[/tex]

solve it we get

h = 66

so height of tree is 66 ft

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