Question

Find x, y and z.

Answer 1

@uri

Answer 2

@Kainui

Answer 3

@timanti any ideas?

Answer 4

sorry, i'm not sure.

Answer 5

@timanti do u know anyone who knows geometry

Answer 6

i don't know, try tagging some moderators maybe they can help you :)

Answer 7

@ganeshie8

Answer 8

@Mariam.A

Answer 9

@Addicto_ do you understand the sin rule we did previously?

Answer 10

yea i think so

Answer 11

ok good then, can u use it to find x?

Answer 12

my problem is that i dont know which number to use at which time, can u just give it to me and i will solve..?

Answer 13

sorry let's do z first
given u d number isn't d best way try this instead
u have side 12 and its opposite angle sin60 and also
z with its opp angle sin90

Answer 14

so what do u think it should look like
folllowing the method u used previously

Answer 15

12/sin60 = z/sin90

Answer 16

excellent!
so now solve for z

Answer 17

z = 13.85

Answer 18

yep

Answer 19

so now u have z u can solve y using the pythagoras theorem since u have two known sides..remeber
hyp2=opp2+adj2

Answer 20

in this case u are looking for the adj

Answer 21

y^2 = 12 + 90 ?

Answer 22

12^2 + 90^2 sorry

Answer 23

x/12= cos 45
y/12 = tan 30
12/z= cos 30

Answer 24

nah try again
ur hyp is the value u just solved for z=13.85
ur opp is 12
so \[adj ^{2}=hyp ^{2}-opp ^{2}\]
\[adj ^{2}=13.85^{2}-12^{2}\]

Answer 25

now solve

Answer 26

you don't need any sin rule or cos rule.

you just need to work out that the other angle in the left triangle is 30 deg

Answer 27

what goes in the place of adj

Answer 28

@Mariam.A ?

Answer 29

then use
SOHCOATOA to get
x/12= cos 45
y/12 = tan 30
12/z= cos 30

what else do you want @Addicto_ ??

Answer 30

that is the unknown y

Answer 31

so its y=6.91

Answer 32

6.93

Answer 33

yep.. correct but i noticed when u round off u forget to add ur 1 at the end if the next numbe is 5 or greater so it should be 6.92

Answer 34

(btw I meant SOHCAHTOA above)

Answer 35

ok now for x..?

Answer 36

to find x
there is one more line that is not labelled make that w and find that first coz it has it known opp angle and x doesnt

Answer 37

like this?

Answer 38

yep

Answer 39

what?

x/12=cos45

just solve it

Answer 40

@MrNood don't get him confused more than he already is.
he is working with sin rule at the moment
he hasn't tried the cos rule yet..

Answer 41

im a girl...lol

Answer 42

sorry..my bad

Answer 43

thats ok so go on plz

Answer 44

ok we are solving for w

Answer 45

no for x, they didnt give me w

Answer 46

yeah true but we are making up a w like u drew before because it has a known opp angle
w and its opp angle is sin45
12 and its opp angle is sin90

Answer 47

w/sin45 = 12/sin90

Answer 48

yep

Answer 49

so what do u get?

Answer 50

w sqrt2 = 12

Answer 51

what is ur answer in decimals

Answer 52

idk

Answer 53

did u use a calc..it should be
(12 x sin45)/sin90

Answer 54

8.48 ?

Answer 55

yeah

Answer 56

so now u have two sides u can use pythagoras theorem to solve for x

Answer 57

ur hyp would by 12^2
ur adj will be w=8.48^2
and opp would be x which u r solving

Answer 58

x^ = 8.48^ - 12^ ?

Answer 59

@Mariam.A ?

Answer 60

yeah almost there but the other way around
x^2=12^2-8.48^2