Question

if a=52 degrees b=9 and c=14 find a to the nearest tenth

Answer 1

@jim_thompson5910

Answer 2

Hint: use the law of cosines


a^2 = b^2 + c^2 - 2bc*cos(A)

a^2 = 9^2 + 14^2 - 29*14*cos(52)

a = ???

Answer 3

-20,835?

Answer 4

hmm not sure how you're getting that

Answer 5

it might help to replace cos(52) with 0.61566147532566

since cos(52 degrees) = 0.61566147532566

Answer 6

ok one minute

Answer 7

coming out with the same thing

Answer 8

a^2 = 9^2 + 14^2 - 29*14*cos(52)

a^2 = 9^2 + 14^2 - 29*14*0.61566147532566

a^2 = 81 + 196 - 29*14*0.61566147532566

...
...
...

a = ???

Answer 9

27.0414432

Answer 10

81 + 196 - 29*14*0.61566147532566 is equal to 27.0414432

Answer 11

so

a^2 = 27.0414432

a = ???

Answer 12

is it the sqrt of 27.0414432?

Answer 13

yes

Answer 14

what is that?

Answer 15

5.20013876738

Answer 16

good, you got it

Answer 17

don't forget to round

Answer 18

thank you so much

Answer 19

sure thing