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Mathematics 6 Online
OpenStudy (anonymous):

help?!?

OpenStudy (phi):

what is angle B ?

OpenStudy (phi):

angle B= 180 - 24 can you find angle ACB knowing A is 16, and B is 156 ?

OpenStudy (phi):

remember 3 angles of a triangle add up to 180º

OpenStudy (phi):

if you can find angle ACB, you can use the Law of Sines to find the side BC \[ \frac{BC}{\sin 16}= \frac{7600}{\sin( ACB)} \]

OpenStudy (phi):

can you be more specific ?

OpenStudy (phi):

yes, angle at C is 8º now use the Law of Sines to find the length of side BC

OpenStudy (anonymous):

bc/sin16= 7600/ sin (16)(156)(8)

OpenStudy (phi):

**im not typing i dont know why its saying that** that's scary. what is this bc/sin16= 7600/ sin (16)(156)(8) ?? \[ \frac{BC}{\sin 16}= \frac{7600}{\sin( 8º)} \]

OpenStudy (anonymous):

hah! iknow

OpenStudy (phi):

no, I was trying to say the angle at C (start at A go to C, then go to B) the Law of Sines see http://www.mathsisfun.com/algebra/trig-sine-law.html uses the ratio of the sin(angle) / side opposite in this case, we want to know side BC, so we need to know the angle across from BC. we do , it is 16º we know side AB= 7600, so we want to know the angle opposite that side. it is angle C=8

OpenStudy (phi):

if you work it through, you can write \[ \frac{BC}{\sin (16º)}= \frac{7600}{\sin( 8º)} \] multiply both sides by sin(16). \[ \frac{BC}{\sin (16º) }\cdot \sin(16º)= \frac{7600}{\sin( 8º)} \cdot \sin(16º)\]

OpenStudy (phi):

on the left side, sin(16)/sin(16) "cancel" (become 1 so we can ignore) now get a calculator and figure out BC

OpenStudy (phi):

what were those 2's they are little º meaning "degrees"

OpenStudy (phi):

no. start with \[ \frac{BC}{\sin (16º) }\cdot \sin(16º)= \frac{7600}{\sin( 8º)} \cdot \sin(16º) \]

OpenStudy (phi):

only on the left side you should remember that anything divided by itself is 1 so the left side \[ \frac{BC}{\sin (16º) }\cdot \sin(16º) = BC \cdot \frac{\sin(16)}{\sin(16)}= BC \cdot 1 = BC \]

OpenStudy (phi):

you need a calculator to figure out the right side

OpenStudy (phi):

yes, but the sin(16) is up top 7600*sin(16)/sin(8)

OpenStudy (phi):

yes. but I think they want to the nearest foot

OpenStudy (phi):

you can use the Law of Sines to do part (b)

OpenStudy (phi):

in triangle BCD , what side do you know ?

OpenStudy (phi):

are you looking at the same picture I am ? put you finger on B, go to C, down to D, over to B. that triangle. which of its 3 sides do you know ?

OpenStudy (phi):

yes, but what did you figure out in part (a) ?

OpenStudy (phi):

You found the length of side BC in part (a) BC= 15052.07

OpenStudy (anonymous):

oh!

OpenStudy (phi):

do you know the angle that is opposite to side BC ?

OpenStudy (anonymous):

no.. how do i find that?

OpenStudy (phi):

the angle opposite side BC is the angle that is not B and not C

OpenStudy (anonymous):

im sorry but i just dont understand..

OpenStudy (phi):

what is the *angle* opposite side BC ? you have 3 choices: B , C or D. (and it's not B or C)

OpenStudy (phi):

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