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Mathematics 9 Online
Comerpickles:

Help

Comerpickles:

@tigerlover

1 attachment
Comerpickles:

@563blackghost

Comerpickles:

@Sam

Comerpickles:

@Vocaloid

tigerlover:

Alright. What you need to do is find S and put it in your calculator with the symbol [\sin]\

tigerlover:

Oh my ^^;

Comerpickles:

Hmmm

Comerpickles:

I have a graphing calculator

tigerlover:

Use google to use the calculator

Comerpickles:

Okie so how do I do this Or better yet what do I do first

tigerlover:

Alright, do you know the degree of the other angles?

Comerpickles:

68 and 60, right?

tigerlover:

It looks like those are the lines measurments. Try to find the angles mesurments.

Comerpickles:

How do I do that?

tigerlover:

What's the full degree of a Triangle?

Comerpickles:

180

tigerlover:

Alright. So we know that one angle is 90. Now we need to find the rest of the angle.

Comerpickles:

Okie, what do I do?

Comerpickles:

@Tranquility

Comerpickles:

@Warriorz13

Comerpickles:

@Shadow

Tranquility:

Have you ever heard of SOH CAH TOA?

Comerpickles:

Nope

Tranquility:

So, that's really the basics when you learn about sin, cos, or tan. \( \sin \theta = \frac{opposite}{hypotenuse}\) \( \cos \theta = \frac{adjacent}{hypotenuse}\) \( \tan \theta = \frac{opposite}{adjacent}\)

Comerpickles:

So do I do this? sin 0 = 68/60?

tigerlover:

Sorry, mines more complicated ^^;

tigerlover:

Thanks Tranquility

Comerpickles:

Its alright, I assumed you were busy

Comerpickles:

I know you are sometimes and I can be a burden

tigerlover:

No its alright ^^

Comerpickles:

I hate to bother

Tranquility:

No, so for sin you simply take the sides that are opposite to the angle and the hypotenuse. For example, if we had this triangle: |dw:1520441396565:dw| The side opposite of the angle \(\theta\) is 3. And the hypotenuse is 5. Remember, the hypotenuse is the side opposite the 90 degree angle. It's the longest side in a right angle triangle. And so what we get from the example is \(\sin \theta = \frac{3}{5}\)

Comerpickles:

So in this case sin 0 = x/68?

Tranquility:

Yes, good job! However we can calculate the opposite side using the Pythagorean theorem. Do you remember what that is?

Comerpickles:

Not exactly, I'm very stupid at Math

Tranquility:

|dw:1520441989862:dw| a^2 + b^2 = c^2 We can use that to find the value of one side knowing two sides of a right angle triangle

Comerpickles:

So a^2+68^2+60^2?

Comerpickles:

Wait 60 is bottom and 68 is the top

Tranquility:

There's an equal sign. Remember the two legs of the triangle is going to be a and b, and the hypotenuse is c

Comerpickles:

Wait, how would I write this out? I'm lost

Comerpickles:

Labeling is my weakness, whereas solving is no problem

Tranquility:

For your triangle, is 60 or 68 the hypotenuse of the triangle?

Comerpickles:

Um both are equal lengths

Tranquility:

60 and 68 are the lengths of the side of the triangle. Remember, the side opposite is the hypotenuse What is the length of the hypotenuse https://assets.questioncove.com/attachments/1520436066-5aa003555dcbc1fbfeec7400-Screenshot_84.png

Comerpickles:

90?

Tranquility:

The numbers that are next to the sides are the length. 90 is the angle value

Comerpickles:

60

Tranquility:

|dw:1520443199609:dw|

Comerpickles:

Gosh sorry to keep doing this 68 I meant

Tranquility:

Ok so a^2 + b^2 = c^2 c is the hypotenuse which means it's 68 And you can put 60 as either a or b, it doesn't really matter and just solve for the other letter

Comerpickles:

I got B=0

Tranquility:

Try again a^2 + 60^2 = 68^2 Solve for a. First take the squares, and then move everything to one side and then you'll need to square root.

Comerpickles:

I thought you said it didn't matter if it was a or b

Comerpickles:

a=32,-32

Tranquility:

It doesn't matter if you decide to make a = 60 or b = 60, but we need to solve for the other side. Also, since length is a positive thing, we take the positive value. So know we know that the opposite side is 32. Can you find what the final answer is now?

Comerpickles:

32/68?

Tranquility:

Perfect, great work!

Comerpickles:

Thanks. I have to go now, thanks

Tranquility:

No problem

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