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- anonymous

A highway makes an angle of 6 with the horizontal. This angle is maintained for a horizontal distance of 5 miles.
To the nearest hundredth of a mile, how high does the highway rise in this 5-mile section? Show the steps you use to find the distance.

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- anonymous

- katieb

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- anonymous

I got .53 Using sin

- anonymous

|dw:1377069720536:dw|

- Psymon

|dw:1377069733737:dw|

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- Psymon

Not sin :P We need to use a trig function that includes a known quantity as well as the unknown one. Sin is opposite over hypotenuse, but the hypotenuse gives us no information. We use tangent because tangent is opposite over adjacent, which includes our x as well as our known quantity

- anonymous

What???

- Directrix

Sine is opposite over hypotenuse.
You have opposite side over adjacent side which is NOT sine.

- anonymous

I thought we would do...|dw:1377069953819:dw|

- Psymon

Interesting, law of sines O.o

- Psymon

Not necessary, though.

- anonymous

I dont know then...:(

- Psymon

Checked it, answer is the same, just.....a much longer way of doing it that isnt needed xD

- Directrix

@OpenSessame Go ahead and do the Law of Sines and see what the answer is.

- anonymous

its .53

- Psymon

Yeah, it's the same answer doing it the faster way with tangent. It's nice to know the law of sines, but you should also know the more efficient way of doing this problem :3

- anonymous

I thought that was more efficient cause i can do it really easy that way...

- Psymon

Well, do whats comfortable of course. But do you understand what I did by chance?

- Directrix

Go with what you know.
nearest hundredth of a mile --> .52552... --> .53 as you said @OpenSessame

- anonymous

Yes you used tan and then multiplied.

- Psymon

Mhm. As long as you know what I did, then thats fine. The more you know the better, but use whats comfortable in the end. You got the right answer, so good job!

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