Does this like right guys?

[Ciarán]

 

[pka]

I would use \(\sin({\bf{F}})=\sqrt{1-\cos^2({\bf{F}})}\)

 

[Ciarán]

I would use \(\sin({\bf{F}})=\sqrt{1-\cos^2({\bf{F}})}\)

As my equation or answer? Please forgive my stupidity

 

[pka]

As my equation or answer? Please forgive my stupidity

Here is the calculation.

 

[Dr.Peterson]

View attachment 17344

Your calculation for x^2 is incorrect. Which side is the hypotenuse?

 

[Ciarán]

Your calculation for x^2 is incorrect. Which side is the hypotenuse?

Hypotenuse side is 11cm?

 

[Dr.Peterson]

Yes, so what does the Pythagorean Theorem say? Write it out thoughtfully.

 

[Ciarán]

Yes, so what does the Pythagorean Theorem say? Write it out thoughtfully.

 

[MarkFL]

Okay, so if the opposite side has a length of \(\sqrt{85}\) and the hypotenuse has a length of 11, then what is \(\sin(F)\)?

 

[Ciarán]

Okay, so if the opposite side has a length of \(\sqrt{85}\) and the hypotenuse has a length of 11, then what is \(\sin(F)\)?

Is Sin B=square root of 85, over 11?

 

[Ciarán]

Is Sin B=square root of 85, over 11?

Question asked to leave the answer in surd form?

 

[MarkFL]

Is Sin B=square root of 85, over 11?

The angle is \(F\), but yes:

[MATH]\sin(F)=\frac{\text{opposite}}{\text{hypotenuse}}=\frac{\sqrt{85}}{11}[/MATH]

 

[MarkFL]

Question asked to leave the answer in surd form?

The form I gave above is surd form. They just mean, I suspect, not to use a decimal approximation, but to give the exact value.

 

[Ciarán]

The form I gave above is surd form. They just mean, I suspect, not to use a decimal approximation, but to give the exact value.

Thanks a million

 

[Ciarán]

The form I gave above is surd form. They just mean, I suspect, not to use a decimal approximation, but to give the exact value.

So is the value of sin F= 55 degrees?

 

[MarkFL]

So is the value of sin F= 55 degrees?

No, the sine of an angle is the ratio of one length to another, and so it is dimensionless (has no units). Angles can be given in degrees, and if you are trying to find the measure of angle \(F\) you would use the inverse sine function (and we would find \(F\approx56.94^{\circ}\)), but the problem doesn't ask for that, it simply asks for the value of \(\sin(F)\) in surd form, which you already have.