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Mathematics 7 Online
OpenStudy (anonymous):

find bc. round to the nearest tenth. a. 19.1 b. 20.8 c. 23.1 d. 23.3

OpenStudy (anonymous):

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

@Data_LG2

jimthompson5910 (jim_thompson5910):

step 1) Find the missing angle A step 2) use the law of sines AB/sin(C) = BC/sin(A) 11/sin(30) = x/sin(A) x is unknown and you'll solve for it. The value of A will also be known after doing step 1. Make sure you are in degree mode

OpenStudy (anonymous):

i need a little more help in this. i dont know much about cos sin and how to specifically solve everything.

jimthompson5910 (jim_thompson5910):

do you have a calculator that can handle trig?

OpenStudy (anonymous):

no

jimthompson5910 (jim_thompson5910):

ok I recommend you use this then http://web2.0calc.com/

jimthompson5910 (jim_thompson5910):

tell me what sin(30) is equal to

OpenStudy (anonymous):

0.5

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

what is the missing angle A equal to? hint: all three angles of any triangle always add to 180 degrees

OpenStudy (anonymous):

60

jimthompson5910 (jim_thompson5910):

A+B+C = 180 A+79+30 = 180 A = ???

OpenStudy (anonymous):

71

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

what is sin(71) equal to (use the calculator in the link posted)

OpenStudy (anonymous):

0.94

jimthompson5910 (jim_thompson5910):

you should get sin(71) = 0.945518575599 agreed?

OpenStudy (anonymous):

yeah

jimthompson5910 (jim_thompson5910):

x = length of BC \[\Large \frac{AB}{\sin(C)} = \frac{BC}{\sin(A)}\] \[\Large \frac{AB}{\sin(30^{\circ})} = \frac{BC}{\sin(71^{\circ})}\] \[\Large \frac{11}{0.5} = \frac{x}{0.945518575599}\] solve for x to get the length of BC

OpenStudy (anonymous):

20.68

jimthompson5910 (jim_thompson5910):

x = length of BC \[\Large \frac{AB}{\sin(C)} = \frac{BC}{\sin(A)}\] \[\Large \frac{AB}{\sin(30^{\circ})} = \frac{BC}{\sin(71^{\circ})}\] \[\Large \frac{11}{0.5} = \frac{x}{0.945518575599}\] \[\Large 22 = \frac{x}{0.945518575599}\] \[\Large 22*0.945518575599 = x\] \[\Large 20.801408663178 = x\] \[\Large x = 20.801408663178\]

jimthompson5910 (jim_thompson5910):

Use more decimal digits than just 2 so instead of using 0.94 use 0.9455 or 0.945518575599 instead

OpenStudy (anonymous):

so the final answer is b???

jimthompson5910 (jim_thompson5910):

correct

OpenStudy (anonymous):

ty!

jimthompson5910 (jim_thompson5910):

np

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