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Mathematics 18 Online
OpenStudy (anonymous):

Trigonometry. Please help

OpenStudy (anonymous):

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OpenStudy (anonymous):

You need to use your trig identities for a right triangle. Remember SOH CAH TOA. In this case we will use CAH, so the cos of the angle = adjacent/hypotenuse. In this case: cos(50)=y/4 Can you solve from here?

OpenStudy (anonymous):

No can you explain?

OpenStudy (anonymous):

Solve for y

OpenStudy (anonymous):

Can you do it and show work so I understand.

OpenStudy (anonymous):

Multiply by 4 on each side so you get y=4cos(50) Then you need to plug that in to your calculator or use your table to find the cos(50)

OpenStudy (anonymous):

It says it's 60 degrees. Is that right?

OpenStudy (anonymous):

No, it can't be 60 degrees because you are not looking for an angle, you are looking for the length of the side y. It has to be a number less than 4 because of the properties of a right triangle. The side of length 4 is the hypotenuse which by the Pythagorean Theorem is the longest side.

OpenStudy (anonymous):

Is it the tangent 1.7321

OpenStudy (anonymous):

No, we already solved for y y=4cos(50) plug 4cos(50) into your calculator and what do you get?

OpenStudy (anonymous):

.6478760969 thats what I got

OpenStudy (anonymous):

What kind of calculator do you have?

OpenStudy (anonymous):

I used an online calculator.

OpenStudy (anonymous):

Do you have tables for sin and cos in the back of your book?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

What do you get for the cos(50) from the tables?

OpenStudy (anonymous):

Sine .8660

OpenStudy (anonymous):

no......cos(50), I get cos(50)=0.6427876097

OpenStudy (anonymous):

So what is 4cos(50)??

OpenStudy (anonymous):

Or in other words what is 4(0.642787097)?

OpenStudy (anonymous):

2.571148388

OpenStudy (anonymous):

Bingo

OpenStudy (anonymous):

Since they want it to the nearest integer you will need to round up to 3. 3 is the nearest integer.

OpenStudy (anonymous):

Thanks for hangin in there with me .

OpenStudy (anonymous):

No problem, do you understand what we did?

OpenStudy (anonymous):

Yea kind of, math is not my strongsuit lol.

OpenStudy (anonymous):

It wasn't mine either!! Until I really focused hard on it. Practice practice practice! It took me a while!

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