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#1 2013-09-01 10:05:10

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

trig problems

1. What is the sine of an acute angle whose cosine is 7/25?

2. I'm standing at 300 feet from the base of a very tall building. The building is on a slight hill, so that when I look straight ahead, I am staring at the base of the building. When I look upward at an angle of 54 degrees, I am looking at the top of the building. To the nearest foot, how many feet tall is the building?

3. If A is an acute angle such that \tan A + \sec A = 2, then find \cos A.

4. In triangle GHI, we have GH = HI = 25 and GI = 30. What is \sin\angle GIH?

5. In triangle GHI, we have GH = HI = 25 and GI = 40. What is \sin\angle GHI? (Note: This is NOT the exact same as the previous problem!)


Genius is one percent inspiration and ninety-nine percent perspiration

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#2 2013-09-01 10:57:38

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,517

Re: trig problems

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#3 2013-09-01 10:59:17

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,596

Re: trig problems

Hi

Last edited by anonimnystefy (2013-09-01 11:05:07)


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#4 2013-09-01 11:06:17

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,517

Re: trig problems

Hi;


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#5 2013-09-01 11:15:15

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,596

Re: trig problems

Hi bobbym

My bad! Thought it was GIH again. Your answer is correct for 5!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#6 2013-09-01 11:18:05

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,517

Re: trig problems

All triangles should be named ABC by law. What if you have a bunch of them? No difference!


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#7 2013-09-01 11:19:07

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,596

Re: trig problems

And, it would make even topologists happy. They already think all triangles are the same!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#8 2013-09-01 11:20:29

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,517

Re: trig problems

Yea, they are weird.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#9 2013-09-01 11:36:40

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,596

Re: trig problems

Definitely! And there's so many of 'em!


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#10 2013-09-01 11:41:19

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,517

Re: trig problems

I think we should consider all topologists the same.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

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#11 2013-09-01 14:26:51

anonimnystefy
Real Member
From: The Foundation
Registered: 2011-05-23
Posts: 15,596

Re: trig problems

Unfortunately, that does not reduce their numbers. Only one thing does.


“Here lies the reader who will never open this book. He is forever dead.

“Taking a new step, uttering a new word, is what people fear most.” ― Fyodor Dostoyevsky, Crime and Punishment

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#12 2013-09-01 15:14:09

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,517

Re: trig problems

Forcing them to computational math would reduce their numbers real quick.


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

#13 2013-09-02 05:48:22

mathstudent2000
Member
Registered: 2013-07-26
Posts: 79

Re: trig problems

thanks


Genius is one percent inspiration and ninety-nine percent perspiration

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#14 2013-09-02 09:34:13

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 88,517

Re: trig problems

Hi;

Very good. Did you draw a diagram on that trig problem about the house?


In mathematics, you don't understand things. You just get used to them.

I agree with you regarding the satisfaction and importance of actually computing some numbers. I can't tell you how often I see time and money wasted because someone didn't bother to run the numbers.

Offline

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