Question

The picture shows a portion of an irrigation system for a farm. LM is the main water pipe.

What is the length of the main water pipe LM?

19.1 feet

12.7 feet

5.5 feet

6.4 feet

Answer 1

I know it has to do with sin or cos

Answer 2

Do you know the 30-60-90 theorem?

Answer 3

Oh no wander I couldn't get it, okay let me try it.

Answer 4

A right triangle has two legs - the two sides that form the right angle.

The shorter leg is the side opposite the smaller acute angle. In this case, that angle is the 30 degree angle.

The longer leg is the side opposite the larger acute angle. In this case, that angle is the 60 degree angle.

Answer 5

I got 12.702078521939953810623556581986.

Answer 6

Get the exact answer.

When using the theorem, get the 30-leg first and then the hypotenuse which is LM.

Divide 11 by sqrt(3) to get the 30-leg.

Then, double that to get the hypotenuse which is LM.

Answer 7

That's what I did.

Answer 8

11/sqrt(3) * 2 = 22/ sqrt(3) = 22/ sqrt(3) * sqrt(3) / sqrt (3) =

[ 22*sqrt(3) ] / 3