i really need help. this is making me so lost and confused and pissed off. PLEASE

- anonymous

i really need help. this is making me so lost and confused and pissed off. PLEASE

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- chestercat

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- anonymous

please see the attachment

##### 1 Attachment

- anonymous

i know that the answers im getting are wrong.

- mathstudent55

What is \( \dfrac{\pi}{6} \) in degrees?

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## More answers

- anonymous

it doesnt say

- anonymous

i think it is cuz i look at examples and they show that they are in degrees

- mathstudent55

If you are dealing with angles measured in radians, it is very helpful to be able to convert to degrees.
\( \pi ~radians = 180 ^{\circ} \)
\( \dfrac{\pi}{6} radians = \dfrac{180^{\circ}}{6} = 30^{\circ} \)

- mathstudent55

|dw:1378014681148:dw|

- anonymous

i dont think its in radians though.

- mathstudent55

Since you have a right angle and a 30-degree angle, you have a 30-60-90 right triangle.

- mathstudent55

pi/6 is an anlge measure in radians. It equals 30 degrees.

- anonymous

ok

- mathstudent55

Since you have a 30-60-90 degree triangle, you can find the lengths of the other 2 sides by using the ratios of the lengths of the sides of 30-60-90 triangle.

- anonymous

so for the HY. 74.1/cos30?

- mathstudent55

|dw:1378014898429:dw|

- anonymous

but they already gave me one of the sides. where the one is there should be 74.1

- mathstudent55

Yes, that will also work.

- anonymous

ok and for the other side it would be 74.1tan30?

- mathstudent55

74.1 is x which is where sqrt(3) is.

- anonymous

oh yeah thats what i meant.

- mathstudent55

|dw:1378015121906:dw|

- anonymous

sorry ive been trying this problem out for a long time. this makes sense now.

- anonymous

b= 85.56 a=42.78

- anonymous

right?

- mathstudent55

cos 30 = 74.1/b
b = 74.1/cos 30
b = 85.56
tan 30 = a/74.1
a = 74.1tan 30
a = 42.78

- mathstudent55

You are correct.
Now part c.

- anonymous

part c? the acute angle? for that i got 90-PI/6

- mathstudent55

Since you did the problem with sin and tan, there was no need to convert to degrees, but you need to make sure your calculator is set to radians.

- mathstudent55

Your answer is correct, but it is written is a funny way.
It's as if I asked what is the length of your classroom and you answered
it is 2 meters + 15 ft long.
The 90 part is in degrees and the pi/6 part is in radians.

- anonymous

oki know 90 is π/2 so do i add π/2 and π/6?

- mathstudent55

Since the problem gave you the angle is radians, you should answer in radians.
\(90^{\circ} = \dfrac{\pi}{2} rad \)
The third angle measures:
\( \dfrac{\pi}{2} rad - \dfrac{\pi}{6} rad = ~?\)

- mathstudent55

No, don't add, subtract like you did in 90 - pi/6, only using both measures in radians as I showed above.

- anonymous

ok. i got 1.047

- mathstudent55

Use the fractions and subntract using a common denominator to get an exact answer.

- anonymous

π/3

- mathstudent55

\( \dfrac{\pi}{2} rad - \dfrac{\pi}{6} rad\)
\( = \dfrac{3\pi}{3 \times 2} rad - \dfrac{\pi}{6} rad \)
\( = \dfrac{2\pi}{6} rad \)
\(= \dfrac{\pi}{3} rad \)

- mathstudent55

Correct.

- anonymous

that makes so much sense. thank you so so much.

- anonymous

you are awesomely amazing and i love you for it. lol. sorry im really happy.

- mathstudent55

No problem, and you are very welcome.
Just one quick check. Since we know this is a 30-60-90 triangle with a 90 degree angle and a 30 degree angle, the third angle had better be 60 degrees.
Sure enough,
\( \dfrac{\pi}{3}rad = \dfrac{180^{\circ}}{3} = 60 ^ {\circ} \)

- mathstudent55

I like the way you went from
"lost and confused and pissed off"
to
"im really happy"
Keep studying and asking questions. This is how you learn.

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