Answer:
height of the tree is 30 feet
Step-by-step explanation:
a tree casts a shadow 42 feet long . at the same time, a person 5 feet tall casts a shadow 7 feet long.
shadow of a 5 feet tall person is 7 feet long
Let x be the height of the tree
shadow of a 42 feet tree is x feet long
Make a proportion
[tex]\frac{x}{42} =\frac{5}{7}[/tex]
cross multiply
[tex]7x=(42)(5)[/tex]
[tex]7x=210[/tex]
divide by 7 on both sides
x=30
So height of the tree is 30 feet
