Question

In ΔABC, if the length of side b is 3 centimeters and the measures of angle B and angle C are 45° and 60°, respectively, what is the length of side c to two decimal places?

2.45
3.67
4.00
5.45
will fan helpers

Answer 1

no idea how this works

Answer 2

you can use the law of sines \[\frac{sinA}{a}=\frac{ \sin B }{ b }=\frac{ sinC }{ c }\]

Answer 3

is it 75

Answer 4

degrees?

Answer 5

A is 75°, but you don't really need it.
Just use the B and C parts of the equation.
You know that b = 3 cm, B = 45°, and C = 60°. The only thing missing is c.

Answer 6

how would you find that?

Answer 7

plug in the numbers
\[\frac{ sin B }{ b }=\frac{ sin C }{ c }\]

Answer 8

ill try

Answer 9

i cant figure it out sorry

Answer 10

let me see what you have

Answer 11

i couldnt find the sin of b or sin c

Answer 12

uppercase letters are angles, lowercase are sides.
Given in the question: b = 3 cm, B = 45°, and C = 60°.
plug into a calculator to get the sin values

Answer 13

2.1?

Answer 14

I don't know what you're doing. You have to put some work up for me to see.
Please start by replacing the letters with the numbers in the equation and we can go from there.

Answer 15

no. the equation is

(sin B)/b = (sin C)/c

when you plug in the numbers you should have

(sin 45)/3 = (sin 60)/c

solve that for c

Answer 16

3.67?

Answer 17

yes

Answer 18

thank you

Answer 19

you're welcome