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Paraphin [41]
3 years ago
7

a tree casts a shadow 42 feet long.at the same time, a person 5 feet tall casts a shadow 7 feet long. what is the hight of the t

ree?
Mathematics
1 answer:
arlik [135]3 years ago
4 0

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

\frac{x}{42} =\frac{5}{7}

cross multiply

7x=(42)(5)

7x=210

divide by 7 on both sides

x=30

So height of the tree is 30 feet

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