Question

Calculate the length of b to two decimal places.

Answer 1

D

Answer 2

there is only sides A, B, and C - if you arent going to help me understand please leave

Answer 3

Shouldn't the question be "calculate the length of C because the length of B is given as 22?

Answer 4

I also think you should read that question again because you cannot find the third side with just 2 known sides.

Answer 5

Oh yeah, I labeled it wrong. It should be calculate the length of b to two decimal places but in the original equation it looked like this below

Answer 6

And you indicated an angle. It can be solved now.

Answer 7

yes I am soo confused on which equation to use here though.

Answer 8

because if I use
c^2=a^2+b^2-2abcos(c)
I cannot plug in b because I dont have it.

Answer 9

@pooja195

Answer 10

I drew another diagram because we'll need to know what lengths for side a and side c

Answer 11

okay thanks that is very helpful

Answer 12

We'll also need the Law of Cosines (attached)

Answer 13

In this case we use B right?

Answer 14

Yes, we are using B
Going by the formula
cos(B) = (a^2 + c^2 -b^2) / (2*a*c)
cos (110) = (22^2 + 14^2 -b^2) / (2*22*14)
(more to calculate)

Answer 15

Ohhhh

Answer 16

So then
Cos(110)=(484+196-b^2)/(616)

Answer 17

-0.34202 = (484 + 196 -b^2) / 2*22*14)
-0.34202 = (680 - b^2) / 616
-210.6843 = 680 -b^2
-890.68432 = -b^2

b^2 = 890.68432
b = sq root (890.68432)
b= 29.8443348058

Answer 18

I think that answer is correct

Answer 19

got it! thanks for explaining the math for it:) Although I think it may actually be 28.84

Answer 20

Did you get 28.84 from you own calculations?

Answer 21

nevermind I got 29.84

Answer 22

All right !!