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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,534

Hi bobbym and Maiya,

The solution T#20 is 200 √3 + 200 meters = 546.4 meters approximately.

Excellent, bobbym! Keep trying, Maiya!

T#21. If the value of cos A = 1/√2, find the value of tan A.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Maiya****Member**- Registered: 2011-08-11
- Posts: 124

hello Ganesh;

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,534

Hi bobbym and Maiya,

The solution T#21 is correct. Good work!

T#22. A lighthouse was observed from two points in a line with it, but on opposite sides of it. The distance between the points is 120 meters. If the angle of elevation are 30[sup]o[/sup] and 45[sup]o[/sup], find the height of the lighthouse.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi ganesh;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Maiya****Member**- Registered: 2011-08-11
- Posts: 124

Hello Ganesh;

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,534

Hi bobbym and Maiya,

The solution T#22 is

meters. Neat job, bobbym!T#23. Two men are on the opposite sides of a tower. They measure the angles of elevation of the top of the tower as 30° and 45° respectively. If the height of the tower is 150 meters, find the distance between the men.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi;

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Stormtangent****Member**- Registered: 2011-09-03
- Posts: 33

Hey guys! I haven't been online... here's a couple answers

"Have you ever had a dream that you were so sure was real? What if you were unable to wake from that dream? How would you know the difference between the dream world and the real world? "

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**Stormtangent****Member**- Registered: 2011-09-03
- Posts: 33

"A couple"... lol, my bad.

"Have you ever had a dream that you were so sure was real? What if you were unable to wake from that dream? How would you know the difference between the dream world and the real world? "

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,534

Hi bobbym and Stormtangent,

bobbym : The solution T#23 is perfect. Excellent!

Stormtangent : The solutions T#21, T#22, and T#23 are perfect. Brilliant!

T#24. From the top of a lighthouse, the angles of depression of two ships floating in a straight line on either sides of the lighthouse are observed as 30[sup]o[/sup] and 45[sup]o[/sup]. If the height of the lighthouse is 200 meters, find the distance between the ships.

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**Maiya****Member**- Registered: 2011-08-11
- Posts: 124

Hello Ganesh;

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,534

Hi bobbym and Maiya,

bobbym : The solution T#24 is correct. Excellent!

Maiya : The solutions T#23 and T#24 are correct. Excellent!

T#25. If cos A = ½, then tan 2A = ?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**Maiya****Member**- Registered: 2011-08-11
- Posts: 124

Hello Ganesh;

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,534

Hi bobbym and Maiya,

The solution T#25 is correct. Stupendous!

T#26. Find the value of

.Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**Maiya****Member**- Registered: 2011-08-11
- Posts: 124

Hello Ganesh;

*Last edited by Maiya (2011-11-28 23:41:40)*

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,534

Hi bobbym and Maiya,

The solution T#26 is correct, bobbym! Superlative!

T#27. What is the value of sin30sin45sin60 (in degrees)?

Character is who you are when no one is looking.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,238

Hi ganesh;

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,544

hi ganesh

*Last edited by anonimnystefy (2011-12-28 03:27:28)*

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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