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Mathematics 17 Online
OpenStudy (purplemexican):

help please

OpenStudy (purplemexican):

OpenStudy (tkhunny):

Please provide the Right-Triangle definition of the Cosine.

OpenStudy (purplemexican):

everywhere

OpenStudy (purplemexican):

the most i can tell you is what im looking for

OpenStudy (tkhunny):

You cannot have been given this problem without the basic Right-Triangle definitions of Sine, Cosine, and Tangent. What are they?

OpenStudy (purplemexican):

do i know what?

OpenStudy (purplemexican):

i have been given what you see

OpenStudy (purplemexican):

and 4 answer choices

OpenStudy (purplemexican):

if i knew earlier today i dont remember now

OpenStudy (tkhunny):

Hogwash, unless this is a placement test. If this is a placement test, you should get this problem wrong so that you are placed in the correct course this semester.

OpenStudy (purplemexican):

well i dont want you to do it for me i would like a step by step tho

OpenStudy (purplemexican):

im in summerschool

OpenStudy (purplemexican):

ive been doing algebra 2 since 9 am to 4:30 for the past few days im half out of my wits with this stuff now

OpenStudy (purplemexican):

i have till 4:30 tomorrow to finish about 50 questions i would love to take a brake i really wold

OpenStudy (tkhunny):

Did you read it?

OpenStudy (purplemexican):

yes it make sence

OpenStudy (tkhunny):

Okay, now solve. What does it want and how shall you find it?

OpenStudy (purplemexican):

i have one minuet im gonna guess on the quiz then come back and figure it out

OpenStudy (purplemexican):

didnt even get to guess so im looking for angle FHE right and or cos(theta) right?

OpenStudy (tkhunny):

\(\cos(\angle FHE) = \dfrac{Adjacent}{Hypotenuse}\) You know neither the Adjacent Side (FH) nor the Hypotenuse (EH). How shall we find them?

OpenStudy (purplemexican):

i have 2 angles and a side i could find the other sides of the one triangle and then i would have one of the sides

OpenStudy (tkhunny):

Good. How about \(\triangle{HGF}\)? Can that help us find FH?

OpenStudy (purplemexican):

yes it would

OpenStudy (tkhunny):

It's a 45-45-90 Right Triangle. What is the relationship between the Leg and the Hypotenuse?

OpenStudy (purplemexican):

leg FH is 4 right

OpenStudy (tkhunny):

How did you get that? One for free: \(\sqrt{8}\cdot\sqrt{2} = \sqrt{16} = 4\) I believe you have it! Now, we know the "Adjacent". Now, off to your Pythagorean Theorem to find the Hypotenuse, EH.

OpenStudy (purplemexican):

a^2+b^2=c^2\[4^2+3^2=5^2 \] and or 16+9=25 \[c=\sqrt{25}\] or c=5

OpenStudy (purplemexican):

@tkhunny do you concur?

OpenStudy (tkhunny):

We have the hypotenuse. Now, you can solve the problem. What is the requested cosine?

OpenStudy (purplemexican):

indeed

OpenStudy (tkhunny):

Eventually, you should also recognize "Pythagorean Triples" - at least 3-4-5 and 5-12-13. There are many others.

OpenStudy (purplemexican):

i get cos(37)=0.765

OpenStudy (tkhunny):

No one cares about those decimals or degrees. \(\cos\left(\angle{FHE}\right) = \dfrac{4}{5}\) - Done!

OpenStudy (purplemexican):

thank you so much i appreciate the help

OpenStudy (tkhunny):

You got it. Keep up the good work. Start earlier so you CAN take a break. :-)

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