Find the measure of the angle formed between the base of the cone and a line segment that represents the slant height.

Question

anonymous · Answer

Hey @Mkitchin .
To do that , use theorem of pythagoras. You see, inside the cone, you should find the right-angled triangle, where the radius will be the base, the height will be the other side and the slant height will be the hypothenuse.|dw:1428516149054:dw|

anonymous · Answer

To find&, we use sine rule, which is $$\sin&=opposite/Hypothense$$$$&=\sin^{-1} \frac{ opposite }{ hypothenuse }$$ Got it?

anonymous · Answer

Umm not really. I know the slant height. I don't understand how to use your equation..

anonymous · Answer

@Hoslos

anonymous · Answer

According to the theorem of Pythagoras, trigonometric function, sine, cosin and tangent came out. Do you know these?

anonymous · Answer

@Hoslos  Kind of

anonymous · Answer

Can you write for me the sine formula?

anonymous · Answer

@Mkitchin ?

anonymous · Answer

The sine formula is the opposite angle divided by the hypotenuse.. Right?

anonymous · Answer

@Hoslos

anonymous · Answer

You got it! That is what I wrote up there. Now how far can you correlate it with the given triangle?

anonymous · Answer

The hypotenuse would be the slant height I think. And the opposite would be 6 inches. @Hoslos

anonymous · Answer

Where did you get that distance @Mkitchin ?

anonymous · Answer

From the picture my question came with.. Did I not put the picture up with the question? @Hoslos