Question

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 ?

Answer 1

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

Answer 2

i dont know how to do that

Answer 3

OH WHOOPS HOLD ON, let me draw the diagram again

Answer 4

ok :)

Answer 5

the 22 is where you put the x

Answer 6

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

Answer 7

"altitude" is the height of the triangle

Answer 8

oh

Answer 9

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

Answer 10

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

Answer 11

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

Answer 12

um how do i do that ?

Answer 13

hint:

a = b/c
b = c*a

Answer 14

so do i use a calculator

Answer 15

now look at what I wrote before:

sin(22) = x/15

Answer 16

yes

Answer 17

what do i put into the calculator

Answer 18

I'm trying to help you figure it out on your own

let's try an easier problem:

2 = x/4, what is x?

Answer 19

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

Answer 20

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?

Answer 21

2

Answer 22

no, please try again

Answer 23

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

Answer 24

4

Answer 25

what is 8 divided by 4?

Answer 26

2

Answer 27

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

Answer 28

8

Answer 29

excellent!

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

Answer 30

in order to find x, we multiplied 2*4

Answer 31

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?

Answer 32

oh

Answer 33

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

Answer 34

yup!

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

Answer 35

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

Answer 36

15 and 22 ?

Answer 37

not quite

what is on the left side of the equation?

Answer 38

22

Answer 39

no, the whole thing

Answer 40

sin(22)

Answer 41

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

Answer 42

22

Answer 43

no, please think again

Answer 44

sin(22)

Answer 45

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

Answer 46

sin(22)

Answer 47

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

Answer 48

sin(22), and....?

Answer 49

15

Answer 50

YES!, sin(22) and 15!

Answer 51

x = sin(22) times 15

Answer 52

and that gives me 5.6

Answer 53

excellent work, you're done

Answer 54

thank you so much !!!!!