SOLUTION: How do you solve a problem that says "find the value of each ratio to the nearest hundredth." and then gives you a problem saying "sin14"

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Question 393481: How do you solve a problem that says "find the value of each ratio to the nearest hundredth." and then gives you a problem saying "sin14"
Answer by neatmath(302) About Me  (Show Source):
You can put this solution on YOUR website!

Well, remember what the sine of an angle of a triangle is?

It simply is the length of the side opposite the angle, divided by the length of the hypotenuse.

In other words, it is a ratio!

The value for the sin(14) where 14 is in degrees is:

.24192189

Therefore the opposite side divided by the hypotenuse has a value of .24192189

So you indeed have a ratio:

o%2Fh=.24

where o is the length of the opposite side, and h is the length of the hypotenuse.

You can see that if you had a side opposite of 24, and a hypotenuse of 100,

then you would have the ratio of 24%2F100

which would also be the sine of that angle (and of course that angle would be approximately 14 degrees).

Without seeing your actual books or lessons, I am assuming that this is what they are looking for.

I hope this helps!