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

Zeeshan 01
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Registered: 2016-07-22
Posts: 689

Geometry

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


MZk

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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: 1,275

Re: Geometry

60°, I guess.


Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away. May his adventurous soul rest in peace at heaven.

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

bob bundy
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Registered: 2010-06-20
Posts: 8,400

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

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

Zeeshan 01
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Registered: 2016-07-22
Posts: 689

Re: Geometry

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


MZk

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

bob bundy
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Registered: 2010-06-20
Posts: 8,400

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

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

Zeeshan 01
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Registered: 2016-07-22
Posts: 689

Re: Geometry

??


MZk

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

bob bundy
Administrator
Registered: 2010-06-20
Posts: 8,400

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

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

Zeeshan 01
Member
Registered: 2016-07-22
Posts: 689

Re: Geometry

do it algebrically ??


MZk

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

bob bundy
Administrator
Registered: 2010-06-20
Posts: 8,400

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

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