Question

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

Answer 1

@jigglypuff314 please help :)

Answer 2

remember these ratios? :)

Answer 3

yeah thats given for a 30 60 90

Answer 4

CD = BD - BC

so let's first try to find BC

Answer 5

so BC = BD - CD

Answer 6

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 :)

Answer 7

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

Answer 8

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

Answer 9

yes! cross multiply it :)

Answer 10

200 = (BC)(sqrt3)

Answer 11

yes, now divide both sides by sqrt(3)

Answer 12

115.47 = BC

Answer 13

that's right! :)

now, let's try to find BD

Answer 14

how would i start that

Answer 15

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

Answer 16

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

Answer 17

BD = 346.4

Answer 18

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

Answer 19

230.93 thank you!!

Answer 20

Glad I could help :)