find bc. round to the nearest tenth. a. 19.1 b. 20.8 c. 23.1 d. 23.3
@jim_thompson5910
@Data_LG2
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
i need a little more help in this. i dont know much about cos sin and how to specifically solve everything.
do you have a calculator that can handle trig?
no
tell me what sin(30) is equal to
0.5
correct
what is the missing angle A equal to? hint: all three angles of any triangle always add to 180 degrees
60
A+B+C = 180 A+79+30 = 180 A = ???
71
yes
what is sin(71) equal to (use the calculator in the link posted)
0.94
you should get sin(71) = 0.945518575599 agreed?
yeah
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
20.68
x = length of BC \[\Large \frac{AB}{\sin(C)} = \frac{BC}{\sin(A)}\] \[\Large \frac{AB}{\sin(30^{\circ})} = \frac{BC}{\sin(71^{\circ})}\] \[\Large \frac{11}{0.5} = \frac{x}{0.945518575599}\] \[\Large 22 = \frac{x}{0.945518575599}\] \[\Large 22*0.945518575599 = x\] \[\Large 20.801408663178 = x\] \[\Large x = 20.801408663178\]
Use more decimal digits than just 2 so instead of using 0.94 use 0.9455 or 0.945518575599 instead
so the final answer is b???
correct
ty!
np
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