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Old February 12th, 2008, 10:12 PM
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Default Angle of elevation problem... it's super simple, but the algebra I need help with ^_^

A ladder leaning against a building makes an angle of 78 degrees with the ground. THe foot of the ladder is 5 feet from the building. How long is the ladder?

Yadda yadda. Okay, a picture came with it, but I already figured out the problem and here is it:

cos(78) = 5/x
.......... = ...???

How do I get x by itself? Could someone please work the problem for me, and then I'll know how to do the rest. Isn't it annoying when you forget the little things? Thanks!
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Old February 12th, 2008, 10:17 PM
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Originally Posted by Melancholy View Post
A ladder leaning against a building makes an angle of 78 degrees with the ground. THe foot of the ladder is 5 feet from the building. How long is the ladder?

Yadda yadda. Okay, a picture came with it, but I already figured out the problem and here is it:

cos(78) = 5/x
.......... = ...???

How do I get x by itself? Could someone please work the problem for me, and then I'll know how to do the rest. Isn't it annoying when you forget the little things? Thanks!
there are many ways to get x by itself. one way:

cos(78) = 5/x

flip both sides

=> 1/cos(78) = x/5

multiply by 5 on both sides

=> 5/cos(78) = x
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Old February 12th, 2008, 10:22 PM
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Cool dude! Thanks a bunch. So on my calc, I'd key in cos(78) divided by 5 (which comes out to 0.415)? Or am I having a retarded moment...
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Old February 12th, 2008, 10:25 PM
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Cool dude! Thanks a bunch. So on my calc, I'd key in cos(78) divided by 5 (which comes out to 0.415)? Or am I having a retarded moment...
hehe, you're having a retarded moment, it seems. you'd key in 5 and then the division sign then cos(78)
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Old February 12th, 2008, 10:32 PM
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Lol, good to know. Okay, so I key in 5/cos(78), just like you said the first time , and I get 24.048. Would that be the correct answer?

Ever have one of those weeks where you can literally hear your brain frying through your ears? It's a crisp, bancon-like sizzling sound. Not pleasant. But seriously, thanks for putting up with me lol. *continues digging gigantic hole with which to bury homework*
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Old February 12th, 2008, 10:54 PM
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Lol, good to know. Okay, so I key in 5/cos(78), just like you said the first time , and I get 24.048. Would that be the correct answer?

Ever have one of those weeks where you can literally hear your brain frying through your ears? It's a crisp, bancon-like sizzling sound. Not pleasant. But seriously, thanks for putting up with me lol. *continues digging gigantic hole with which to bury homework*
it would be 24.049

but yeah, you got it
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