Question

Help am I right. Please explain to me how to do this?

Answer 1

i take it your trying to work a triangle?

Answer 2

first thing to do is draw a triangle .... and label it up

Answer 3

then put in what you know ....

Answer 4

now you would need to rummage thru your thoughts to see if you have anything that you can use to determine the other values of the triangle

Answer 5

what do we know about the sum of all the angles of a triangle? dont they add up to something specific?

Answer 6

Okay I did 15 sin 62 degrees = b Sin 73 degrees? Now what?

Answer 7

first off, i wouldnt use 73 degrees for that

Answer 8

but other than that, just divide off the sin 79 to determine a value for b

Answer 9

\[\frac{b}{sinB}=\frac{a}{sinA}\]
\[\frac{b~sinA}{sinB}=a\]is what i would try out since you seem to be wanting to apply the law of sines

Answer 10

opps one sec.

Answer 11

a = 10.72? @amistre64

Answer 12

.... not quite.

\[a=\frac{15sin(62^o)}{sin(39^o)}=abt~21.045^o\]

Answer 13

lol .... thats not spose to be a degree on the end :) 21.045 in length

Answer 14

a = 21.045

Answer 15

thats what my calculator gives me, yes

Answer 16

alright then how would I find c?

Answer 17

law of sines works .... so lets keep on using it

\[\frac{c}{sinC}=\frac{b}{sinB}\]
\[c=\frac{b~sinC}{sinB}\]

Answer 18

c = 9.09 @amistre64

Answer 19

im not sure what your using to do the calculations with, but you might wanna change its batteries :)

the largest degree, 79, will have the largest side value as well .... so NOT 9.09

Answer 20

23.39?

Answer 21

@amistre64

Answer 22

thats better:)

Answer 23

is that right?

Answer 24

yes it is

Answer 25

if you have options, then they prolly rounded the values

Answer 26

THANK YOU!

Answer 27

youre welcome, and good luck :)

Answer 28

Wait but how would you do this?

Answer 29

its still the law of sine

Answer 30

you set it up for me so i can see that you are catching on to it

Answer 31

alright.

Answer 32

sin 67.38/24 times sin X/26

Answer 33

looks great

now move 26 to the other side

26 sin(67.38)/24 = sin(X)

one thing to realize here is that we need to undo a sin function, so inverse each side

\[sin^{-1}\frac{26 sin(67.38)}{24} = X\]
should do it

Answer 34

I dont get it?

Answer 35

I get too small of a answer?

Answer 36

really? i get about 90 degrees

Answer 37

hmmm, let me guess, you get 1.5694 right?

Answer 38

yes.

Answer 39

:) those are radians, not degrees

Answer 40

multiply by 180 and divide by pi

Answer 41

but how does that go with the equation?

Answer 42

the equation is asking for a value for X in degrees.

our solution gets to a point that it gives us the ratio of the sin of X, not the degree of X

Answer 43

\[sin(X)=\frac{26~sin(67.39)}{24}\]
\[sin(X)=\frac{26~sin(67.39)}{24}=1.0000717...\]
this is not the degree of X, this is the value of the sine of X; we need to undo the sine function by applying an inverse sine function.

Answer 44

could you set up the equation for this one?

Answer 45

@amistre64