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- anonymous

Two boats start their journey from the same point A and travel along directions AC and AD, as shown below
What is the distance, CD, between the boats?
230.9 ft
284.3 ft
115.5 ft
173.2 ft

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- anonymous

- schrodinger

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- anonymous

- anonymous

@jigglypuff314 please help :)

- jigglypuff314

|dw:1435073326407:dw|

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- jigglypuff314

remember these ratios? :)

- anonymous

yeah thats given for a 30 60 90

- jigglypuff314

CD = BD - BC
so let's first try to find BC

- anonymous

so BC = BD - CD

- jigglypuff314

mm that was just to point out that to find CD (the answer)
we should try finding BC and BD using what we know about triangles :)

- jigglypuff314

200 sqrt(3)
----- = ----------
BC 1

- anonymous

so would you cross multiply...? I hate this chapter I'm sorry

- jigglypuff314

yes! cross multiply it :)

- anonymous

200 = (BC)(sqrt3)

- jigglypuff314

yes, now divide both sides by sqrt(3)

- anonymous

115.47 = BC

- jigglypuff314

that's right! :)
now, let's try to find BD

- anonymous

how would i start that

- jigglypuff314

compare the my drawing to the given picture :)
the 200 is where the "x" is right?
and BD is where the "x sqrt(3)" is

- jigglypuff314

since we are doing proportions, x is 1
so 200 1
------ = ---------
BD sqrt(3)

- anonymous

BD = 346.4

- jigglypuff314

good! now CD = BD - BC
so subtract the two numbers we got :)

- anonymous

230.93 thank you!!

- jigglypuff314

Glad I could help :)

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