A person 5 feet tall casts a shadow that is 10 feet tall. A true casts a shadow that is 116 feet long. How tall is the tree?

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Answer 1 · 2018-05-02T03:35:16

Let the angle of elevation of sun be #theta#

So

#tantheta="person's height"/"length of his shadow"="height of the tree"/"shadow of the tree"#

#=>"person's height"/"length of his shadow"="height of the tree"/"shadow of the tree"#

#=>5/10=x/116#

#=>x=5/10*116=58# ft

Height of the tree #=58ft#