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OpenSessame
 2 years 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.
OpenSessame
 2 years 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.

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OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.0I got .53 Using sin

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.0dw:1377069720536:dw

Psymon
 2 years ago
Best ResponseYou've already chosen the best response.3Not 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

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1Sine is opposite over hypotenuse. You have opposite side over adjacent side which is NOT sine.

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.0I thought we would do...dw:1377069953819:dw

Psymon
 2 years ago
Best ResponseYou've already chosen the best response.3Interesting, law of sines O.o

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.0I dont know then...:(

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

Directrix
 2 years ago
Best ResponseYou've already chosen the best response.1@OpenSessame Go ahead and do the Law of Sines and see what the answer is.

Psymon
 2 years ago
Best ResponseYou've already chosen the best response.3Yeah, 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

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.0I thought that was more efficient cause i can do it really easy that way...

Psymon
 2 years ago
Best ResponseYou've already chosen the best response.3Well, do whats comfortable of course. But do you understand what I did by chance?

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

OpenSessame
 2 years ago
Best ResponseYou've already chosen the best response.0Yes you used tan and then multiplied.

Psymon
 2 years ago
Best ResponseYou've already chosen the best response.3Mhm. 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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