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#1 2018-08-05 22:21:29

Zeeshan 01
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Registered: 2016-07-22
Posts: 746

Geometry

Q:   In a right-angle triangle, perpendicular is 3 times the base. What is ratio
of their opposite angles?


Malik

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#2 2018-08-06 16:13:32

Monox D. I-Fly
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From: Indonesia
Registered: 2015-12-02
Posts: 2,000

Re: Geometry

60°, I guess.


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#3 2018-08-06 19:25:20

Bob
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Registered: 2010-06-20
Posts: 10,052

Re: Geometry

hi Zeeshan 01

Let's call the two angles A and B.  3x and x are the opposite and adjacent, and the adjacent and opposite for these angles.

A/B = atan(3/1) / atan(1/3).  This evaluates to about 3.6

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#4 2018-08-07 00:28:26

Zeeshan 01
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Registered: 2016-07-22
Posts: 746

Re: Geometry

Options are
A) 30:60
B) 45:45
C) 30:30
D) none
Show with graph


Malik

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#5 2018-08-07 00:49:58

Bob
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Registered: 2010-06-20
Posts: 10,052

Re: Geometry

geK6PSK.gif

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#6 2018-08-07 05:28:51

Zeeshan 01
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Registered: 2016-07-22
Posts: 746

Re: Geometry

??


Malik

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#7 2018-08-07 19:46:49

Bob
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Registered: 2010-06-20
Posts: 10,052

Re: Geometry

In a right-angle triangle, perpendicular is 3 times the base.

So I made a triangle with B = 90, AC = 3 times BC.

I assumed that

What is ratio of their opposite angles?

means find the ratio of B:A

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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#8 2018-08-07 21:10:22

Zeeshan 01
Member
Registered: 2016-07-22
Posts: 746

Re: Geometry

do it algebrically ??


Malik

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#9 2018-08-08 21:06:42

Bob
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Registered: 2010-06-20
Posts: 10,052

Re: Geometry

Not sure what you mean.  My answer had 'x' in it.  Isn't that algebra?  Algebra doesn't exist independently from the maths topic it occurs in.  This question requires trigonometry (in my opinion) and there's no getting away from that.  You only need to pick one of the multi choice answers.

30:30 is impossible as the angles don't add up to 90.

45:45 won't work as the opposite and adjacent would be equal in this case.

30:60 won't work as the opposite and adjacent are in the ratio root 3 : 1

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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