Hi everyone,

I am working with the Sine Rule at the moment, where you need to solve the Sine Rule equation to find the value of the unknown side of the triangle. However, although I believe my methods for solving the equation are sound, after performing the calculations themselves, I am left with answers that are sometime a far cry from the correct answer.

Here is an example:

I have a triangle with sides MNP. M has an angle of 38 degrees, N has an angle of 80 degrees and P has an angle of 62 degrees. We're given one unknown "x", and one side length which corrosponds to angle N and has a value of 35.3.

Here is an attachment with a sketch of the triangle:

Now, the Sine Rule is:

a / Sin A = b / Sin B

So, I put my values in and get:

x / sin 38 = 35.3 / sin 80

I rearrange the equation:

x = (35.3 / sin 80) x sin 38

x = 16.76

The correct answer ought to be: x = 22.1

I've checked numerous times to ensure my calculator is in degrees mode.

Any help resolving this will be greatly appreciated!

Thanks,

Nathaniel