Question

Find X,Y, & Z in the image...

Answer 1

Use sine ratio as; \[\color{red}{\sin 60^o=\frac{z}{15}.} and \color{blue}{\sin 30^o=\frac{x}{15}.}\]

Answer 2

gt it?

Answer 3

And for "y" u take one of inner right angled triangles & use the suitable trigonometrical ratio as above to get the answer^_^

Answer 4

sooo Z=12.990
and X=7.5 ?

Answer 5

yeah well done:)

Answer 6

& also do for "y" now:)

Answer 7

what would it be as a fraction though?

Answer 8

yeah

Answer 9

\[z=\frac{15\sqrt{3}}{2}. \] & \[x=\frac{15}{2}.\]

Answer 10

okay is Y the same as Z?

Answer 11

NO; in the inner right angled triangle of right side u see;
That \[\color{green}{\sin 30^o=\frac{y}{z}.}\]
So, \[\color{purple}{y=\frac{z}{2}.}\]It means "y" is half of "z".
i.e.;
\[\color{red}{y=6.49}\]

Answer 12

I think u must have gt it now:)

Answer 13

I do :D but can u put in fraction form for me please.
and I also need help finding "a" and "b"

Answer 14

ya; \[y=\frac{12.990}{2}.\] & for 'a' & 'b'; I m thinking^_^

Answer 15

ya, i gt it
As u have found x, y, & z so now u should be able to find a & b by trigonometrical ratio in inner right angled triangles.
But I will not do this.
U have to do it on ur own.

Answer 16

u can do
so best of luck^_^

Answer 17

is "a" 25.98/2 ?

Answer 18

one minute!

Answer 19

no

Answer 20

try more
Hint: - use cosine ratio:)

Answer 21

is "a" 7.5 ?

Answer 22

no;
\[\color{red}{\cos 60^o=\frac{1}{2}=\frac{a}{x}}\]
so \[\color{purple}{a=\frac{x}{2}.}\]
Now, find "b" on ur own:)
but plz do it carefully now^_^

Answer 23

k! so\[\color{red}{\cos 30^o=\frac{b}{z}=\frac{\sqrt{3}}{2}}\]

Answer 24

so\[b=\frac{z \sqrt{3}}{2}.\]

Answer 25

now calculate:)

Answer 26

i got 12.990

Answer 27

whose value?
a or b?

Answer 28

b

Answer 29

LOL
how can that be?
z=12.990
& b is z's sqrt{3}/2 part
I mean\[b=\frac{z \sqrt{3}}{2}=\frac{12.990\times 1.73}{2}.\]

Answer 30

u see above ur answer. I have written solution:)

Answer 31

so its 11.236 ?

Answer 32

one minute:)

Answer 33

yeah definitely:)
well done^_^
So u gt all x, y, z, a, b.

Answer 34

lol thankyou, how do u put a and b in fraction form though?

Answer 35

lol they are written above already.
but by the way\[a=\frac{7.5}{2}.\] & \[b=\frac{22.46}{2}.\]

Answer 36

THANK YOU SO MUCH! ahah and thanks for your patience!