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Mnenie [13.5K]
3 years ago
7

Crystal has 6 blouses, 4 hats, 4 pairs of shoes and 9 skirts.

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

Answer:

Crystal have 4 distinct outfits.

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Consult the attached diagram.

In the larger triangle,

tan(16°) = (7250 ft) / (<em>x</em> + <em>y</em>)

and in the smaller triangle,

tan(26°) = (7250 ft) / <em>y</em>

You want to solve for <em>x</em>.

From the first equation (I'm ignoring units from here on, all distances are measured in ft), you have

(<em>x</em> + <em>y</em>) tan(16°) = 7250

<em>x</em> tan(16°) + <em>y</em> tan(16°) = 7250

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<em>x</em> = 7250 cot(16°) - <em>y</em>

<em />

From the second equation,

<em>y</em> = 7250 cot(26°)

Solving for <em>x</em> gives

<em>x</em> = 7250 cot(16°) - 7250 cot(26°)

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the correct answer is 7.

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