# Finding m<h?

## I got my answer wrong but i need clairifcation on how? thank you..

Mar 18, 2018

${25.37}^{\circ}$ or to the nearest degree: ${25}^{\circ}$

#### Explanation:

Since this is a right triangle, we are able to use the $\tan , \sin ,$and $\cos$ functions.

We know the lengths of the opposite side from ∠H and the hypotenuse, so we will use the sin function.

sin∠H= "opposite"/"hypotenuse"→sin∠W=3/7

Using your calculator, find the value of $\frac{3}{7}$. The equation should now look like this:

sin∠H=0.42857...

Without clearing the calculator (a.k.a. leaving what is on the screen there) hit $2 n d$ and then hit $\sin$. This will show you the measure of ∠W. (You may not have a $2 n d$ button in which case use ${\sin}^{-} 1$.)

∠H=25.37→25^@

Here are a couple things to remember when you see questions like this:

1. Determine which side lengths you know so that you can decide which function to use ($\tan , \sin , \cos$)
2. When you have the form like the one that we had in this question (sin∠H=0.42857...) remember to hit $2 n d$ and then the function. Or, depending on your calculator, you should use ${\sin}^{-} 1 , {\cos}^{-} 1 , {\tan}^{-} 1$ instead.