A right triangle is shown. A right triangle with hypotenuse length of 15, base angle of 22 degrees and altitude of x. Which is closest to the value of x ?

- anonymous

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- anonymous

the 15 is on the long side and the 22 is where you put the x

- anonymous

i dont know how to do that

- Vocaloid

OH WHOOPS HOLD ON, let me draw the diagram again

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- anonymous

ok :)

- Vocaloid

|dw:1433103357038:dw|

- anonymous

the 22 is where you put the x

- Vocaloid

nope, "base angle" means the angle on the bottom

- Vocaloid

"altitude" is the height of the triangle

- anonymous

oh

- Vocaloid

anyway, sin(22) = opposite/hypotenuse = x/15
solve for x

- anonymous

f 13.9
g 9.0
h 5.6
j 6.1
these are the awncer choices

- Vocaloid

alright, we know that sin(22) = x/15, so what is x?

- anonymous

um how do i do that ?

- Vocaloid

hint:
a = b/c
b = c*a

- anonymous

so do i use a calculator

- Vocaloid

now look at what I wrote before:
sin(22) = x/15

- Vocaloid

yes

- anonymous

what do i put into the calculator

- Vocaloid

I'm trying to help you figure it out on your own
let's try an easier problem:
2 = x/4, what is x?

- anonymous

idk i never learned sin and that stuff because i was new to the school and they already tought that

- Vocaloid

let's ignore the sin stuff for now, just solve this problem:
2 = x/4
if x divided by 4 is 2, then what is x?

- anonymous

2

- Vocaloid

no, please try again

- Vocaloid

what number gives you 2 when you divide it by 4?

- anonymous

4

- Vocaloid

what is 8 divided by 4?

- anonymous

2

- Vocaloid

great! so, what number gives you 2 when you divide it by 4?

- anonymous

8

- Vocaloid

excellent!
so, if 2 = x/4, then x = 8, because 8 divided by 4 is 2

- Vocaloid

in order to find x, we multiplied 2*4

- Vocaloid

so, back to the sin stuff
if sin(22) = x/15, we can find x by multiplying sin(22) and 15
so what is x?

- anonymous

oh

- anonymous

so would i do something like that to get my awncer to the first question

- Vocaloid

yup!
so, if sin(22) = x/15, what is x?

- Vocaloid

what two numbers do you need to multiply to get x?

- anonymous

15 and 22 ?

- Vocaloid

not quite
what is on the left side of the equation?

- anonymous

22

- Vocaloid

no, the whole thing

- anonymous

sin(22)

- Vocaloid

great! so, what do you multiply to get x?

- anonymous

22

- Vocaloid

no, please think again

- anonymous

sin(22)

- Vocaloid

yes! so, what do you multiply to get x?

- anonymous

sin(22)

- Vocaloid

you need to multiply TWO things, what's the other number?

- Vocaloid

sin(22), and....?

- anonymous

15

- Vocaloid

YES!, sin(22) and 15!

- Vocaloid

x = sin(22) times 15

- anonymous

and that gives me 5.6

- Vocaloid

excellent work, you're done

- anonymous

thank you so much !!!!!

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