Finding m<h?

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

1 Answer
Mar 18, 2018

#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.