Question

Finding m<h?

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

Answer 1

`25.37^@` or to the nearest degree: `25^@`

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 `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 `2nd` and then hit `sin`. This will show you the measure of `∠W`. (You may not have a `2nd` 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 `2nd` and then the function. Or, depending on your calculator, you should use `sin^-1,cos^-1,tan^-1` instead.