# Thread: How Do I Find X and Y If Hypotenuse is Given (Trigonometry)

1. ## How Do I Find X and Y If Hypotenuse is Given (Trigonometry)

Find the length of Y, to the nearest tenth.

I have no idea how to find!! Help please

2. ## Re: How Do I Find X and Y If Hypotenuse is Given (Trigonometry)

If you look from the \displaystyle \begin{align*} 27^{\circ} \end{align*} angle, then you set up your ratio as \displaystyle \begin{align*} \sin{\left( 27^{\circ} \right)} = \frac{y}{6.2} \end{align*} and solve for y.

If you look from the \displaystyle \begin{align*} 63^{\circ} \end{align*} angle, then you set up your ratio as \displaystyle \begin{align*} \cos{ \left( 63^{\circ} \right)} = \frac{y}{6.2} \end{align*} and solve for y.

3. ## Re: How Do I Find X and Y If Hypotenuse is Given (Trigonometry)

Originally Posted by Prove It
If you look from the \displaystyle \begin{align*} 27^{\circ} \end{align*} angle, then you set up your ratio as \displaystyle \begin{align*} \sin{\left( 27^{\circ} \right)} = \frac{y}{6.2} \end{align*} and solve for y.

If you look from the \displaystyle \begin{align*} 63^{\circ} \end{align*} angle, then you set up your ratio as \displaystyle \begin{align*} \cos{ \left( 63^{\circ} \right)} = \frac{y}{6.2} \end{align*} and solve for y.
for 27, would it be sin (27) / 6.2? i really have no clue what to do...

4. ## Re: How Do I Find X and Y If Hypotenuse is Given (Trigonometry)

You can see that y has been DIVIDED by 6.2, so to undo this, you need to MULTIPLY both sides by 6.2