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

Question

anonymous · Answer

please see the attachment

anonymous · Answer

i know that the answers im getting are wrong.

mathstudent55 · Answer

What is $ \dfrac{\pi}{6} $ in degrees?

anonymous · Answer

it doesnt say

anonymous · Answer

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

mathstudent55 · Answer

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 · Answer

|dw:1378014681148:dw|

anonymous · Answer

i dont think its in radians though.

mathstudent55 · Answer

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

mathstudent55 · Answer

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

anonymous · Answer

ok

mathstudent55 · Answer

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 · Answer

so for the HY. 74.1/cos30?

mathstudent55 · Answer

|dw:1378014898429:dw|

anonymous · Answer

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

mathstudent55 · Answer

Yes, that will also work.

anonymous · Answer

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

mathstudent55 · Answer

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

anonymous · Answer

oh yeah thats what i meant.

mathstudent55 · Answer

|dw:1378015121906:dw|

anonymous · Answer

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

anonymous · Answer

b= 85.56 a=42.78

anonymous · Answer

right?

mathstudent55 · Answer

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 · Answer

You are correct.
Now part c.

anonymous · Answer

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

mathstudent55 · Answer

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 · Answer

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 · Answer

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

mathstudent55 · Answer

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 · Answer

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

anonymous · Answer

ok. i got 1.047