Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

You are not logged in.

- Topics: Active | Unanswered

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

Q: In a right-angle triangle, perpendicular is 3 times the base. What is ratio

of their opposite angles?

MZk

Offline

**Monox D. I-Fly****Member**- From: Indonesia
- Registered: 2015-12-02
- Posts: 1,275

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.

Offline

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

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

Offline

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

Options are

A) 30:60

B) 45:45

C) 30:30

D) none

Show with graph

MZk

Offline

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

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

Offline

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

??

MZk

Offline

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

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

Offline

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

do it algebrically ??

MZk

Offline

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

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

You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei

Offline