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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 height of the tree?

Respuesta :

altavistard

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.

tramserran

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:

[tex] \frac{flagpole height}{flagpole length} [/tex] = [tex] \frac{tree height}{tree length} [/tex]

[tex] \frac{10}{17} [/tex] = [tex] \frac{x}{50} [/tex]

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

[tex] \frac{500}{17} [/tex] = x

29.4 ≈ x

Answer: 29.4 ft


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