[PartyPaint]

just write it down and we try to solve it.

[ynot71121]

Three souls are trapped in a house of pain. They come to the exit and a spirit appears before them.

The first soul attempts to leave. The spirit says 12 and the soul says 6... it is allowed to leave
The second soul attempts to leave. The spirit says 6 and the soul says 3... it is allowed to leave
The third soul attempts to leave. The spirit says 10 and the soul says 5... it is trapped forever

What is the answer to 10 and why?

[ynot71121]

Three souls are trapped in a house of pain. They come to the exit and a spirit appears before them.

The first soul attempts to leave. The spirit says 12 and the soul says 6... it is allowed to leave
The second soul attempts to leave. The spirit says 6 and the soul says 3... it is allowed to leave
The third soul attempts to leave. The spirit says 10 and the soul says 5... it is trapped forever

What is the answer to 10 and why?

[Solixious]

Three souls are trapped in a house of pain. They come to the exit and a spirit appears before them.

The first soul attempts to leave. The spirit says 12 and the soul says 6... it is allowed to leave
The second soul attempts to leave. The spirit says 6 and the soul says 3... it is allowed to leave
The third soul attempts to leave. The spirit says 10 and the soul says 5... it is trapped forever

What is the answer to 10 and why?

twelve consists of 6 letters, so the answer was six. Six consists of 3 letters, so the answer was three. And ten consists of 3 letters, so the answer should have been three. Poor soul remained trapped for such silly reason...

[Solixious]

Three souls are trapped in a house of pain. They come to the exit and a spirit appears before them.

The first soul attempts to leave. The spirit says 12 and the soul says 6... it is allowed to leave
The second soul attempts to leave. The spirit says 6 and the soul says 3... it is allowed to leave
The third soul attempts to leave. The spirit says 10 and the soul says 5... it is trapped forever

What is the answer to 10 and why?

twelve consists of 6 letters, so the answer was six. Six consists of 3 letters, so the answer was three. And ten consists of 3 letters, so the answer should have been three. Poor soul remained trapped for such silly reason...

[Jacob]

Shining White Holmse: Pfff, that's simple Though you forgot to specify if the values are degrees or radians, but judging from the values, they're degrees.

The result is:
sqrt(0.5) which is approximately 0,70710678118654752440084436210485

That's because it's the cos(90°)/tan(45°) results in zero, because cos(90°) is zero, so only sin(45°) is needed to calculate.

If you use a right triangle with hypotenuse length equal to 1 and with angle 45°, then two remaining sides are equal. Therefore:
c = 1
a = b = ?
Sides a and b represent sin(45°) and cos(45°) so
a = b = sin(45°) = cos(45°) = d

And from the Pythagorean we know that
c^2 = a^2 + b^2
Which is
1^2 = sin(45°)^2 + cos(45°)^2
But we know that they're equal so we can do this:
1 = d^2 + d^2
Which is
1 = 2(d^2)
And we need to know d, which equals both to sin(45°) and cos(45°), so we extract it:
1/2 = d^2
sqrt(1/2) = d
So we get
d = sqrt(0.5)
And we substituted sin(45°) with d so the final result is:
sin(45°) = sqrt(0.5)

WHAT?
where you learn theese things?
froxy too smart for me

simple trigonometry, learn it in calculus in high school

[Jacob]

Shining White Holmse: Pfff, that's simple Though you forgot to specify if the values are degrees or radians, but judging from the values, they're degrees.

The result is:
sqrt(0.5) which is approximately 0,70710678118654752440084436210485

That's because it's the cos(90°)/tan(45°) results in zero, because cos(90°) is zero, so only sin(45°) is needed to calculate.

If you use a right triangle with hypotenuse length equal to 1 and with angle 45°, then two remaining sides are equal. Therefore:
c = 1
a = b = ?
Sides a and b represent sin(45°) and cos(45°) so
a = b = sin(45°) = cos(45°) = d

And from the Pythagorean we know that
c^2 = a^2 + b^2
Which is
1^2 = sin(45°)^2 + cos(45°)^2
But we know that they're equal so we can do this:
1 = d^2 + d^2
Which is
1 = 2(d^2)
And we need to know d, which equals both to sin(45°) and cos(45°), so we extract it:
1/2 = d^2
sqrt(1/2) = d
So we get
d = sqrt(0.5)
And we substituted sin(45°) with d so the final result is:
sin(45°) = sqrt(0.5)

WHAT?
where you learn theese things?
froxy too smart for me

simple trigonometry, learn it in calculus in high school

[ynot71121]

Nice job! that one always works better when told aloud simply because when you see it written out your mind already kinda points you in the right direction.

[ynot71121]

Nice job! that one always works better when told aloud simply because when you see it written out your mind already kinda points you in the right direction.

[PartyPaint]