Exact Values

Okay. I have a quick question.

If I have a hypotnuse of 13, and I know an angle is squareroot3/2 (cos 30) how do I find out the EXACT length of the adjacent side?

Hello abc10

Quote:

Originally Posted by abc10

Okay. I have a quick question.

If I have a hypotnuse of 13, and I know an angle is squareroot3/2 (cos 30) how do I find out the EXACT length of the adjacent side?

I assume you mean the angle is $30^o$ , and its cosine is $\frac{\sqrt3}{2}$ , in which case all you can do is to say that the length of the adjacent side is $13\cos 30^o = \frac{13\sqrt3}{2}$ . That's its exact value. Any attempt to write this as a decimal will give an approximate value.

Grandad

how about $\frac{\sqrt{3}*13}{2}$ ?