A tree casts a shadow 15 feet long. At the same time, a 18-foot flag pole casts a shadow 10 feet long. How tall is the tree?

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I’m confused on this question for algebra.

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Answer 1 · 2018-04-25T21:48:13

The height of the tree is $27 f t$ $27 ft$ .

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We can set up a proportion comparing the height of each object to the length of the shadow.

$\frac{h}{s}$ $h/s$

$\frac{h}{15} = \frac{18}{10}$ $h/15 = 18/10$

Cross multiply
$10 \cdot h = 18 \cdot 15$ $10*h = 18*15$

$10 h = 270$ $10h = 270$

Use the multiplicative Inverse

$(cancel10h)/cancel10 = 270/10$

$h = 27$