Ask your own question, for FREE!
Mathematics 8 Online
OpenStudy (anonymous):

In △JKL, solve for x.

OpenStudy (anonymous):

OpenStudy (anonymous):

17.32 38.16 66.73 74.89

OpenStudy (anonymous):

@ganeshie8

OpenStudy (anonymous):

@JoannaBlackwelder

OpenStudy (anonymous):

@zepdrix

OpenStudy (joannablackwelder):

Can you set up the equation?

OpenStudy (anonymous):

27/34?

OpenStudy (joannablackwelder):

Firstly, that is not an equation. That is an expression. An equation needs an equals sign.

OpenStudy (joannablackwelder):

Do you know which trig function you need to use?

OpenStudy (anonymous):

not really

OpenStudy (joannablackwelder):

34 is the side length opposite from the 27 deg angle and x is the side length adjacent.

OpenStudy (joannablackwelder):

What is the trig function that relates opposite and adjacent?

OpenStudy (anonymous):

Right-Angled Triangle

OpenStudy (joannablackwelder):

This is a right angled triangle, which means that we can use the trig ratios. But it doesn't tell us which one is most useful.

OpenStudy (joannablackwelder):

\[\tan \theta=\frac{ opp }{ adj }\]

OpenStudy (joannablackwelder):

Remember that one?

OpenStudy (anonymous):

yes

OpenStudy (joannablackwelder):

Can you plug in the info in the diagram to this formula?

OpenStudy (anonymous):

i know is not 66.71

OpenStudy (anonymous):

73*

OpenStudy (joannablackwelder):

How did you get that?

OpenStudy (anonymous):

27/34?

OpenStudy (joannablackwelder):

Why did you do that?

OpenStudy (anonymous):

for the plug in

OpenStudy (anonymous):

im wrong right?

OpenStudy (joannablackwelder):

Yeah...

OpenStudy (joannablackwelder):

The angle is the 27

OpenStudy (joannablackwelder):

34 is the opposite side

OpenStudy (anonymous):

x=34/tan27 x=66.73

OpenStudy (joannablackwelder):

\[\tan(27)=\frac{ 34 }{ x }\]

OpenStudy (anonymous):

got it, it is 66.73

OpenStudy (joannablackwelder):

:)

OpenStudy (anonymous):

can you help me with this

OpenStudy (anonymous):

Given the triangle below, which of the following is a correct statemen

OpenStudy (anonymous):

OpenStudy (joannablackwelder):

I can try. What are you looking for?

OpenStudy (anonymous):

OpenStudy (anonymous):

@JoannaBlackwelder

OpenStudy (joannablackwelder):

For this one, you need to know the trig ratios.

OpenStudy (joannablackwelder):

\[\sec \theta=\frac{ hyp }{ adj }\]

OpenStudy (anonymous):

so it would be a or c?

OpenStudy (joannablackwelder):

\[\cot \theta=\frac{ adj }{ opp }\]

OpenStudy (anonymous):

because of the SEC right?

OpenStudy (anonymous):

ok know wht do i do, place the numbers?

OpenStudy (joannablackwelder):

Yup, substitute.

OpenStudy (anonymous):

cot =3/6

OpenStudy (anonymous):

sec =7/3

OpenStudy (anonymous):

is it right? @JoannaBlackwelder

OpenStudy (joannablackwelder):

That depends on which angles you are looking at.

OpenStudy (anonymous):

abc

OpenStudy (joannablackwelder):

cot(C)=3/6

OpenStudy (anonymous):

then what?

OpenStudy (joannablackwelder):

You can simplify the fraction to 1/2

OpenStudy (joannablackwelder):

But make sure that you realize that cot(B)=6/3=2

OpenStudy (anonymous):

oh now i get it, so it would be D ?

OpenStudy (joannablackwelder):

It makes a lot of difference which angle you are using.

OpenStudy (joannablackwelder):

:)

OpenStudy (anonymous):

yes? yei

OpenStudy (joannablackwelder):

Good job :)

OpenStudy (anonymous):

can you help me with the last one

OpenStudy (joannablackwelder):

k

OpenStudy (anonymous):

Use △DEF, shown below, to answer the question that follows:

OpenStudy (anonymous):

OpenStudy (anonymous):

What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

OpenStudy (anonymous):

Answer for Blank 1:

OpenStudy (joannablackwelder):

Can you tell me what the appropriate trig ratio to use is?

OpenStudy (anonymous):

a/ sin A = c/sin C

OpenStudy (anonymous):

i got the answer 52.47

OpenStudy (anonymous):

@JoannaBlackwelder

OpenStudy (joannablackwelder):

How did you plug the numbers in?

OpenStudy (anonymous):

i followed this instructions

OpenStudy (joannablackwelder):

a needs to be across from the angle A and c across from angle C.

OpenStudy (anonymous):

OpenStudy (joannablackwelder):

I don't think you have the correct configuration to use this formula.

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (joannablackwelder):

x would need to be across from the 49 degree angle to use this formula.

OpenStudy (anonymous):

so it would be like 8 or something like that

OpenStudy (joannablackwelder):

Hm, I think it would be longer than that. But let's try to calculate it.

OpenStudy (joannablackwelder):

I would use cos.

OpenStudy (anonymous):

ok

OpenStudy (joannablackwelder):

Can you set it up?

OpenStudy (anonymous):

i dont know what i have to do?

OpenStudy (joannablackwelder):

\[\cos \theta=\frac{ adj }{ hyp }\]

OpenStudy (anonymous):

cos = 55/49

OpenStudy (joannablackwelder):

theta is the angle

OpenStudy (joannablackwelder):

You can't plug in the angle for the ratio. The ratio is always of side lengths.

OpenStudy (joannablackwelder):

\[\cos(49)=\frac{ x }{ 55 }\]

OpenStudy (joannablackwelder):

Do you see how I did that?

OpenStudy (anonymous):

yea, so know i=how i calculate the answer? to solve for the x?

OpenStudy (joannablackwelder):

yup

OpenStudy (joannablackwelder):

55*cos(49)=x

OpenStudy (anonymous):

2.69?

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!