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3241004551 [841]
3 years ago
10

a 10ft tall flagple stands next to a tree. the shadow of the flagpole is 17ft and the shadow of the tree is 50ft. what is the he

ight of the tree?
Mathematics
2 answers:
TEA [102]3 years ago
5 0

You can solve this problem by writing an equation of ratios and finding the value of the unknown that way:

10 ft 17 ft

---------- * ---------

50 ft x

Then 10x = 850, and so x = 85 feet.

svetoff [14.1K]3 years ago
4 0

This is a "similar triangle" problem. Set up a ratio comparing the flagpole to the tree as follows and cross multiply to solve for the missing value:

\frac{flagpole height}{flagpole length} = \frac{tree height}{tree length}

\frac{10}{17} = \frac{x}{50}

(10)(50) = (17)(x)

\frac{500}{17} = x

29.4 ≈ x

Answer: 29.4 ft


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