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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 5mile section? Show the steps you use to find the distance.
 8 months ago
 8 months ago
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 5mile section? Show the steps you use to find the distance.
 8 months ago
 8 months ago

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OpenSessameBest ResponseYou've already chosen the best response.0
I got .53 Using sin
 8 months ago

OpenSessameBest ResponseYou've already chosen the best response.0
dw:1377069720536:dw
 8 months ago

PsymonBest ResponseYou've already chosen the best response.3
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
 8 months ago

DirectrixBest ResponseYou've already chosen the best response.1
Sine is opposite over hypotenuse. You have opposite side over adjacent side which is NOT sine.
 8 months ago

OpenSessameBest ResponseYou've already chosen the best response.0
I thought we would do...dw:1377069953819:dw
 8 months ago

PsymonBest ResponseYou've already chosen the best response.3
Interesting, law of sines O.o
 8 months ago

OpenSessameBest ResponseYou've already chosen the best response.0
I dont know then...:(
 8 months ago

PsymonBest ResponseYou've already chosen the best response.3
Checked it, answer is the same, just.....a much longer way of doing it that isnt needed xD
 8 months ago

DirectrixBest ResponseYou've already chosen the best response.1
@OpenSessame Go ahead and do the Law of Sines and see what the answer is.
 8 months ago

PsymonBest ResponseYou've already chosen the best response.3
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
 8 months ago

OpenSessameBest ResponseYou've already chosen the best response.0
I thought that was more efficient cause i can do it really easy that way...
 8 months ago

PsymonBest ResponseYou've already chosen the best response.3
Well, do whats comfortable of course. But do you understand what I did by chance?
 8 months ago

DirectrixBest ResponseYou've already chosen the best response.1
Go with what you know. nearest hundredth of a mile > .52552... > .53 as you said @OpenSessame
 8 months ago

OpenSessameBest ResponseYou've already chosen the best response.0
Yes you used tan and then multiplied.
 8 months ago

PsymonBest ResponseYou've already chosen the best response.3
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!
 8 months ago
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